120910421701872 has 320 divisors, whose sum is σ = 379739998417920. Its totient is φ = 36530099020800.

The previous prime is 120910421701871. The next prime is 120910421701889. The reversal of 120910421701872 is 278107124019021.

120910421701872 is a `hidden beast` number, since 1 + 2 + 0 + 91 + 0 + 421 + 70 + 1 + 8 + 72 = 666.

It is a super-2 number, since 2×120910421701872² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120910421701871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4359789318 + ... + 4359817050.

It is an arithmetic number, because the mean of its divisors is an integer number (1186687495056).

Almost surely, 2^{120910421701872} is an apocalyptic number.

120910421701872 is a gapful number since it is divisible by the number (12) 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 120910421701872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189869999208960).

120910421701872 is an abundant number, since it is smaller than the sum of its proper divisors (258829576716048).

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

120910421701872 is a wasteful number, since it uses less digits than its factorization.

120910421701872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30469 (or 30457 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 120910421701872 in words is "one hundred twenty trillion, nine hundred ten billion, four hundred twenty-one million, seven hundred one thousand, eight hundred seventy-two".