10031121232000 has 256 divisors, whose sum is σ = 27476562821760. Its totient is φ = 3611558400000.

The previous prime is 10031121231953. The next prime is 10031121232003. The reversal of 10031121232000 is 23212113001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10031121232003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17493847 + ... + 18058153.

Almost surely, 2^{10031121232000} is an apocalyptic number.

10031121232000 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 10031121232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738281410880).

10031121232000 is an abundant number, since it is smaller than the sum of its proper divisors (17445441589760).

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

10031121232000 is a wasteful number, since it uses less digits than its factorization.

10031121232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564448 (or 564426 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10031121232000 its reverse (23212113001), we get a palindrome (10054333345001).

The spelling of 10031121232000 in words is "ten trillion, thirty-one billion, one hundred twenty-one million, two hundred thirty-two thousand".