120100102122000 has 2560 divisors, whose sum is σ = 539318633398272. Its totient is φ = 22187520000000.

The previous prime is 120100102121981. The next prime is 120100102122001. The reversal of 120100102122000 is 221201001021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120100102122001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 22444419325 + ... + 22444424675.

Almost surely, 2^{120100102122000} is an apocalyptic number.

120100102122000 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 120100102122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269659316699136).

120100102122000 is an abundant number, since it is smaller than the sum of its proper divisors (419218531276272).

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

120100102122000 is a wasteful number, since it uses less digits than its factorization.

120100102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120100102122000 its reverse (221201001021), we get a palindrome (120321303123021).

The spelling of 120100102122000 in words is "one hundred twenty trillion, one hundred billion, one hundred two million, one hundred twenty-two thousand".