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120210000120 = 233257167285643
BaseRepresentation
bin110111111110100010…
…0110000100011111000
3102111021122022201111200
41233331010300203320
53432142230000440
6131120153254200
711453626066440
oct1577504604370
9374248281450
10120210000120
1146a87458341
121b36a104360
13b4498632b2
145b651ad120
1531d8637c30
hex1bfd1308f8

120210000120 has 192 divisors, whose sum is σ = 449169477120. Its totient is φ = 27311945472.

The previous prime is 120210000101. The next prime is 120210000161. The reversal of 120210000120 is 21000012021.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278019 + ... + 563661.

It is an arithmetic number, because the mean of its divisors is an integer number (2339424360).

Almost surely, 2120210000120 is an apocalyptic number.

120210000120 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 120210000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224584738560).

120210000120 is an abundant number, since it is smaller than the sum of its proper divisors (328959477000).

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

120210000120 is a wasteful number, since it uses less digits than its factorization.

120210000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285834 (or 285827 counting only the distinct ones).

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

Adding to 120210000120 its reverse (21000012021), we get a palindrome (141210012141).

The spelling of 120210000120 in words is "one hundred twenty billion, two hundred ten million, one hundred twenty", and thus it is an aban number.