120106041554772 has 192 divisors, whose sum is σ = 386262025175040. Its totient is φ = 31426898493312.

The previous prime is 120106041554761. The next prime is 120106041554777. The reversal of 120106041554772 is 277455140601021.

120106041554772 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 60 + 41 + 5 + 547 + 7 + 2 = 666.

It is a super-2 number, since 2×120106041554772² (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 (120106041554777) 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, 46865238 + ... + 49361549.

It is an arithmetic number, because the mean of its divisors is an integer number (2011781381120).

Almost surely, 2^{120106041554772} is an apocalyptic number.

120106041554772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120106041554772 is an abundant number, since it is smaller than the sum of its proper divisors (266155983620268).

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

120106041554772 is a wasteful number, since it uses less digits than its factorization.

120106041554772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96226947 (or 96226939 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 120106041554772 in words is "one hundred twenty trillion, one hundred six billion, forty-one million, five hundred fifty-four thousand, seven hundred seventy-two".