1012213232400 has 240 divisors, whose sum is σ = 3302301674880. Its totient is φ = 264974438400.

The previous prime is 1012213232341. The next prime is 1012213232413. The reversal of 1012213232400 is 42323122101.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19826106 + ... + 19877094.

It is an arithmetic number, because the mean of its divisors is an integer number (13759590312).

Almost surely, 2^{1012213232400} is an apocalyptic number.

1012213232400 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 1012213232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651150837440).

1012213232400 is an abundant number, since it is smaller than the sum of its proper divisors (2290088442480).

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

1012213232400 is a wasteful number, since it uses less digits than its factorization.

1012213232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51314 (or 51303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1012213232400 its reverse (42323122101), we get a palindrome (1054536354501).

The spelling of 1012213232400 in words is "one trillion, twelve billion, two hundred thirteen million, two hundred thirty-two thousand, four hundred".