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122120000111120 = 245111031433940201
BaseRepresentation
bin11011110001000101000111…
…001110100000001000010000
3121000101120001210000010211112
4123301011013032200020100
5112001303230012023440
61111421053100432452
734502610305616464
oct3361050716401020
9530346053003745
10122120000111120
1135a0288a445650
1211843810b48728
13531ab35bb6b4b
1422228d4c944a4
15e1b94c60b965
hex6f11473a0210

122120000111120 has 160 divisors (see below), whose sum is σ = 312966498933504. Its totient is φ = 43945399296000.

The previous prime is 122120000111089. The next prime is 122120000111147. The reversal of 122120000111120 is 21111000021221.

It is a junction number, because it is equal to n+sod(n) for n = 122120000111095 and 122120000111104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129417020 + ... + 130357220.

Almost surely, 2122120000111120 is an apocalyptic number.

122120000111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120000111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156483249466752).

122120000111120 is an abundant number, since it is smaller than the sum of its proper divisors (190846498822384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122120000111120 is a wasteful number, since it uses less digits than its factorization.

122120000111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941761 (or 941755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122120000111120 its reverse (21111000021221), we get a palindrome (143231000132341).

The spelling of 122120000111120 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 206 220 412 440 515 824 880 1030 1133 1433 1648 2060 2266 2866 4120 4532 5665 5732 7165 8240 9064 11330 11464 14330 15763 18128 22660 22928 28660 31526 45320 57320 63052 78815 90640 114640 126104 147599 157630 252208 295198 315260 590396 630520 737995 940201 1180792 1261040 1475990 1623589 1880402 2361584 2951980 3247178 3760804 4701005 5903960 6494356 7521608 8117945 9402010 10342211 11807920 12988712 15043216 16235890 18804020 20684422 25977424 32471780 37608040 41368844 51711055 64943560 75216080 82737688 96840703 103422110 129887120 165475376 193681406 206844220 387362812 413688440 484203515 774725624 827376880 968407030 1065247733 1347308033 1549451248 1936814060 2130495466 2694616066 3873628120 4260990932 5326238665 5389232132 6736540165 7747256240 8521981864 10652477330 10778464264 13473080330 14820388363 17043963728 21304954660 21556928528 26946160660 29640776726 42609909320 53892321320 59281553452 74101941815 85219818640 107784642640 118563106904 138772727399 148203883630 237126213808 277545454798 296407767260 555090909596 592815534520 693863636995 1110181819192 1185631069040 1387727273990 1526500001389 2220363638384 2775454547980 3053000002778 5550909095960 6106000005556 7632500006945 11101818191920 12212000011112 15265000013890 24424000022224 30530000027780 61060000055560 122120000111120