Search a number
-
+
122122022221120 = 2651193372785831
BaseRepresentation
bin11011110001000110111111…
…110000001111010101000000
3121000101202021200221222021111
4123301012333300033111000
5112001321400142033440
61111422025453333104
734503011361356065
oct3361067760172500
9530352250858244
10122122022221120
1135a03727913839
1211844096197194
13531b098b02b3c
142222a47666c6c
15e1ba19dda4ea
hex6f11bfc0f540

122122022221120 has 112 divisors (see below), whose sum is σ = 291128306508288. Its totient is φ = 48794198446080.

The previous prime is 122122022221103. The next prime is 122122022221139. The reversal of 122122022221120 is 21122220221221.

It is a super-2 number, since 2×1221220222211202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122122022221091 and 122122022221100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422776605 + ... + 1422862435.

Almost surely, 2122122022221120 is an apocalyptic number.

122122022221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122022221120 is an abundant number, since it is smaller than the sum of its proper divisors (169006284287168).

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

122122022221120 is a wasteful number, since it uses less digits than its factorization.

122122022221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90768 (or 90758 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 122122022221120 its reverse (21122220221221), we get a palindrome (143244242442341).

The spelling of 122122022221120 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1193 2386 3727 4772 5965 7454 9544 11930 14908 18635 19088 23860 29816 37270 38176 47720 59632 74540 76352 85831 95440 119264 149080 171662 190880 238528 298160 343324 381760 429155 596320 686648 858310 1192640 1373296 1716620 2746592 3433240 4446311 5493184 6866480 8892622 13732960 17785244 22231555 27465920 35570488 44463110 71140976 88926220 102396383 142281952 177852440 204792766 284563904 319892137 355704880 409585532 511981915 639784274 711409760 819171064 1023963830 1279568548 1422819520 1599460685 1638342128 2047927660 2559137096 3198921370 3276684256 4095855320 5118274192 6397842740 6553368512 8191710640 10236548384 12795685480 16383421280 20473096768 25591370960 32766842560 51182741920 102365483840 381631319441 763262638882 1526525277764 1908156597205 3053050555528 3816313194410 6106101111056 7632626388820 12212202222112 15265252777640 24424404444224 30530505555280 61061011110560 122122022221120