10112211312000 has 1024 divisors, whose sum is σ = 40509151488000. Its totient is φ = 2179834675200.

The previous prime is 10112211311987. The next prime is 10112211312001. The reversal of 10112211312000 is 21311221101.

It is a super-2 number, since 2×10112211312000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112211312001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1461932542 + ... + 1461939458.

It is an arithmetic number, because the mean of its divisors is an integer number (39559718250).

Almost surely, 2^{10112211312000} is an apocalyptic number.

10112211312000 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 10112211312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254575744000).

10112211312000 is an abundant number, since it is smaller than the sum of its proper divisors (30396940176000).

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

10112211312000 is a wasteful number, since it uses less digits than its factorization.

10112211312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204 (or 7182 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10112211312000 its reverse (21311221101), we get a palindrome (10133522533101).

The spelling of 10112211312000 in words is "ten trillion, one hundred twelve billion, two hundred eleven million, three hundred twelve thousand".