120121222100985 has 72 divisors (see below), whose sum is σ = 242320004354376. Its totient is φ = 54886168995840.

The previous prime is 120121222100983. The next prime is 120121222101007. The reversal of 120121222100985 is 589001222121021.

120121222100985 is a `hidden beast` number, since 120 + 121 + 222 + 100 + 98 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80515197504 + 120040706903481 = 283752^2 + 10956309^2 .

It is not a de Polignac number, because 120121222100985 - 2¹ = 120121222100983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120121222100983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8500474 + ... + 17677683.

It is an arithmetic number, because the mean of its divisors is an integer number (3365555616033).

Almost surely, 2^{120121222100985} is an apocalyptic number.

120121222100985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120121222100985 is an abundant number, since it is smaller than the sum of its proper divisors (122198782253391).

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

120121222100985 is a wasteful number, since it uses less digits than its factorization.

120121222100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26180263 (or 26180253 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 120121222100985 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, nine hundred eighty-five".