120112122212100 has 432 divisors, whose sum is σ = 390262109293056. Its totient is φ = 30874701312000.

The previous prime is 120112122212009. The next prime is 120112122212129. The reversal of 120112122212100 is 1212221211021.

120112122212100 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 212 + 221 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2647893420 + ... + 2647938780.

Almost surely, 2^{120112122212100} is an apocalyptic number.

120112122212100 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 120112122212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195131054646528).

120112122212100 is an abundant number, since it is smaller than the sum of its proper divisors (270149987080956).

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

120112122212100 is a wasteful number, since it uses less digits than its factorization.

120112122212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46156 (or 46146 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120112122212100 its reverse (1212221211021), we get a palindrome (121324343423121).

The spelling of 120112122212100 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".