1012364111700 has 576 divisors, whose sum is σ = 3576146112000. Its totient is φ = 244544348160.

The previous prime is 1012364111669. The next prime is 1012364111701. The reversal of 1012364111700 is 71114632101.

1012364111700 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 641 + 1 + 17 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012364111701) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 496499281 + ... + 496501319.

It is an arithmetic number, because the mean of its divisors is an integer number (6208587000).

Almost surely, 2^{1012364111700} is an apocalyptic number.

1012364111700 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 1012364111700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788073056000).

1012364111700 is an abundant number, since it is smaller than the sum of its proper divisors (2563782000300).

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

1012364111700 is a wasteful number, since it uses less digits than its factorization.

1012364111700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 1012364111700 its reverse (71114632101), we get a palindrome (1083478743801).

The spelling of 1012364111700 in words is "one trillion, twelve billion, three hundred sixty-four million, one hundred eleven thousand, seven hundred".