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120210002120 = 235131091211891
BaseRepresentation
bin110111111110100010…
…0110001000011001000
3102111021122022211020202
41233331010301003020
53432142230031440
6131120153311332
711453626105325
oct1577504610310
9374248284222
10120210002120
1146a8745989a
121b36a105548
13b449864190
145b651adb4c
1531d8638615
hex1bfd1310c8

120210002120 has 64 divisors (see below), whose sum is σ = 291546440640. Its totient is φ = 44344339200.

The previous prime is 120210002119. The next prime is 120210002131. The reversal of 120210002120 is 21200012021.

It is a happy 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, 461375 + ... + 673265.

It is an arithmetic number, because the mean of its divisors is an integer number (4555413135).

Almost surely, 2120210002120 is an apocalyptic number.

120210002120 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 120210002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145773220320).

120210002120 is an abundant number, since it is smaller than the sum of its proper divisors (171336438520).

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

120210002120 is a wasteful number, since it uses less digits than its factorization.

120210002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213006 (or 213002 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120210002120 its reverse (21200012021), we get a palindrome (141410014141).

Subtracting from 120210002120 its reverse (21200012021), we obtain a palindrome (99009990099).

The spelling of 120210002120 in words is "one hundred twenty billion, two hundred ten million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1091 2182 4364 5455 8728 10910 14183 21820 28366 43640 56732 70915 113464 141830 211891 283660 423782 567320 847564 1059455 1695128 2118910 2754583 4237820 5509166 8475640 11018332 13772915 22036664 27545830 55091660 110183320 231173081 462346162 924692324 1155865405 1849384648 2311730810 3005250053 4623461620 6010500106 9246923240 12021000212 15026250265 24042000424 30052500530 60105001060 120210002120