120100002000000 has 2688 divisors, whose sum is σ = 478449738264960. Its totient is φ = 26560512000000.

The previous prime is 120100001999951. The next prime is 120100002000079. The reversal of 120100002000000 is 200001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 456653999869 + ... + 456654000131.

It is an arithmetic number, because the mean of its divisors is an integer number (177994694295).

Almost surely, 2^{120100002000000} is an apocalyptic number.

120100002000000 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 120100002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239224869132480).

120100002000000 is an abundant number, since it is smaller than the sum of its proper divisors (358349736264960).

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

120100002000000 is an equidigital number, since it uses as much as digits as its factorization.

120100002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 120100002000000 its reverse (200001021), we get a palindrome (120100202001021).

The spelling of 120100002000000 in words is "one hundred twenty trillion, one hundred billion, two million", and thus it is an aban number.