1213020230400 has 2592 divisors, whose sum is σ = 5370521764608. Its totient is φ = 267544166400.

The previous prime is 1213020230371. The next prime is 1213020230407. The reversal of 1213020230400 is 40320203121.

1213020230400 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 2 + 0 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1213020230407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12505363152 + ... + 12505363248.

Almost surely, 2^{1213020230400} is an apocalyptic number.

1213020230400 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 1213020230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685260882304).

1213020230400 is an abundant number, since it is smaller than the sum of its proper divisors (4157501534208).

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

1213020230400 is a wasteful number, since it uses less digits than its factorization.

1213020230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1213020230400 its reverse (40320203121), we get a palindrome (1253340433521).

The spelling of 1213020230400 in words is "one trillion, two hundred thirteen billion, twenty million, two hundred thirty thousand, four hundred".