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120000102012 = 223271992392919
BaseRepresentation
bin110111111000010010…
…0000011111001111100
3102110202000100210102200
41233300210003321330
53431230011231022
6131043254351500
711445500015550
oct1576044037174
9373660323380
10120000102012
1146989a2482a
121b30b95b590
13b41522192b
145b45371860
1531c4ec5bac
hex1bf0903e7c

120000102012 has 72 divisors (see below), whose sum is σ = 348409152000. Its totient is φ = 34113439008.

The previous prime is 120000101987. The next prime is 120000102031. The reversal of 120000102012 is 210201000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120000101985 and 120000102003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1146312 + ... + 1246607.

It is an arithmetic number, because the mean of its divisors is an integer number (4839016000).

Almost surely, 2120000102012 is an apocalyptic number.

120000102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120000102012 is an abundant number, since it is smaller than the sum of its proper divisors (228409049988).

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

120000102012 is a wasteful number, since it uses less digits than its factorization.

120000102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393135 (or 2393130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120000102012 its reverse (210201000021), we get a palindrome (330201102033).

The spelling of 120000102012 in words is "one hundred twenty billion, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 5572 7164 8358 12537 16716 25074 50148 2392919 4785838 7178757 9571676 14357514 16750433 21536271 28715028 33500866 43072542 50251299 67001732 86145084 100502598 150753897 201005196 301507794 476190881 603015588 952381762 1428572643 1904763524 2857145286 3333336167 4285717929 5714290572 6666672334 8571435858 10000008501 13333344668 17142871716 20000017002 30000025503 40000034004 60000051006 120000102012