31234323120000 has 3840 divisors, whose sum is σ = 142917145873920. Its totient is φ = 5865799680000.

The previous prime is 31234323119959. The next prime is 31234323120067. The reversal of 31234323120000 is 2132343213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 227987759932 + ... + 227987760068.

It is an arithmetic number, because the mean of its divisors is an integer number (37218006738).

Almost surely, 2^{31234323120000} is an apocalyptic number.

31234323120000 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 31234323120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71458572936960).

31234323120000 is an abundant number, since it is smaller than the sum of its proper divisors (111682822753920).

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

31234323120000 is a wasteful number, since it uses less digits than its factorization.

31234323120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31234323120000 its reverse (2132343213), we get a palindrome (31236455463213).

The spelling of 31234323120000 in words is "thirty-one trillion, two hundred thirty-four billion, three hundred twenty-three million, one hundred twenty thousand".