120011020331000 has 128 divisors (see below), whose sum is σ = 284794935984000. Its totient is φ = 47325987072000.

The previous prime is 120011020330987. The next prime is 120011020331029. The reversal of 120011020331000 is 133020110021.

It is a super-2 number, since 2×120011020331000² (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 31 ways as a sum of consecutive naturals, for example, 2870438096 + ... + 2870479904.

It is an arithmetic number, because the mean of its divisors is an integer number (2224960437375).

Almost surely, 2^{120011020331000} is an apocalyptic number.

120011020331000 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 120011020331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142397467992000).

120011020331000 is an abundant number, since it is smaller than the sum of its proper divisors (164783915653000).

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

120011020331000 is a wasteful number, since it uses less digits than its factorization.

120011020331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82330 (or 82316 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120011020331000 its reverse (133020110021), we get a palindrome (120144040441021).

The spelling of 120011020331000 in words is "one hundred twenty trillion, eleven billion, twenty million, three hundred thirty-one thousand".