3101120232000 has 672 divisors, whose sum is σ = 11957220362880. Its totient is φ = 706120396800.

The previous prime is 3101120231983. The next prime is 3101120232127. The reversal of 3101120232000 is 2320211013.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316339099 + ... + 316348901.

Almost surely, 2^{3101120232000} is an apocalyptic number.

3101120232000 is a gapful number since it is divisible by the number (30) 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 3101120232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978610181440).

3101120232000 is an abundant number, since it is smaller than the sum of its proper divisors (8856100130880).

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

3101120232000 is a wasteful number, since it uses less digits than its factorization.

3101120232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3101120232000 its reverse (2320211013), we get a palindrome (3103440443013).

The spelling of 3101120232000 in words is "three trillion, one hundred one billion, one hundred twenty million, two hundred thirty-two thousand".