120000100022000 has 320 divisors, whose sum is σ = 334872959616000. Its totient is φ = 41131981440000.

The previous prime is 120000100021987. The next prime is 120000100022029. The reversal of 120000100022000 is 220001000021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82460690 + ... + 83903310.

It is an arithmetic number, because the mean of its divisors is an integer number (1046477998800).

Almost surely, 2^{120000100022000} is an apocalyptic number.

120000100022000 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 120000100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167436479808000).

120000100022000 is an abundant number, since it is smaller than the sum of its proper divisors (214872859594000).

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

120000100022000 is a wasteful number, since it uses less digits than its factorization.

120000100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442873 (or 1442857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120000100022000 its reverse (220001000021), we get a palindrome (120220101022021).

The spelling of 120000100022000 in words is "one hundred twenty trillion, one hundred million, twenty-two thousand".