120012011122100 has 18 divisors (see below), whose sum is σ = 260426064135174. Its totient is φ = 48004804448800.

The previous prime is 120012011122093. The next prime is 120012011122151. The reversal of 120012011122100 is 1221110210021.

It can be written as a sum of positive squares in 3 ways, for example, as 294538485796 + 119717472636304 = 542714^2 + 10941548^2 .

It is a super-2 number, since 2×120012011122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 600060055511 + ... + 600060055710.

Almost surely, 2^{120012011122100} is an apocalyptic number.

120012011122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012011122100 is an abundant number, since it is smaller than the sum of its proper divisors (140414053013074).

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

120012011122100 is a wasteful number, since it uses less digits than its factorization.

120012011122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200120111235 (or 1200120111228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120012011122100 its reverse (1221110210021), we get a palindrome (121233121332121).

The spelling of 120012011122100 in words is "one hundred twenty trillion, twelve billion, eleven million, one hundred twenty-two thousand, one hundred".