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120211020120 = 233510125738593
BaseRepresentation
bin110111111110100100…
…0101001100101011000
3102111021201020112200110
41233331020221211120
53432143010120440
6131120231204320
711453640545262
oct1577510514530
9374251215613
10120211020120
1146a87a94714
121b36a5166a0
13b449b2c649
145b65396b32
1531d878a080
hex1bfd229958

120211020120 has 128 divisors (see below), whose sum is σ = 365630293440. Its totient is φ = 31614566400.

The previous prime is 120211020101. The next prime is 120211020131. The reversal of 120211020120 is 21020112021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120211020096 and 120211020105.

It is a congruent number.

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, 3095544 + ... + 3134136.

Almost surely, 2120211020120 is an apocalyptic number.

120211020120 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 120211020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182815146720).

120211020120 is an abundant number, since it is smaller than the sum of its proper divisors (245419273320).

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

120211020120 is a wasteful number, since it uses less digits than its factorization.

120211020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38965 (or 38961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120211020120 its reverse (21020112021), we get a palindrome (141231132141).

The spelling of 120211020120 in words is "one hundred twenty billion, two hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 257 303 404 505 514 606 771 808 1010 1028 1212 1285 1515 1542 2020 2056 2424 2570 3030 3084 3855 4040 5140 6060 6168 7710 10280 12120 15420 25957 30840 38593 51914 77186 77871 103828 115779 129785 154372 155742 192965 207656 231558 259570 308744 311484 385930 389355 463116 519140 578895 622968 771860 778710 926232 1038280 1157790 1543720 1557420 2315580 3114840 3897893 4631160 7795786 9918401 11693679 15591572 19489465 19836802 23387358 29755203 31183144 38978930 39673604 46774716 49592005 58468395 59510406 77957860 79347208 93549432 99184010 116936790 119020812 148776015 155915720 198368020 233873580 238041624 297552030 396736040 467747160 595104060 1001758501 1190208120 2003517002 3005275503 4007034004 5008792505 6010551006 8014068008 10017585010 12021102012 15026377515 20035170020 24042204024 30052755030 40070340040 60105510060 120211020120