1213258190400 has 567 divisors, whose sum is σ = 4409713964019. Its totient is φ = 316380303360.

The previous prime is 1213258190381. The next prime is 1213258190407. The reversal of 1213258190400 is 40918523121.

The square root of 1213258190400 is 1101480.

It is a perfect power (a square), and thus also a powerful number.

1213258190400 is a `hidden beast` number, since 1 + 2 + 1 + 32 + 581 + 9 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3539774016 + 1209718416384 = 59496^2 + 1099872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1213258190407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8855899132 + ... + 8855899268.

Almost surely, 2^{1213258190400} is an apocalyptic number.

1213258190400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1213258190400 is the 1101480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213258190400

1213258190400 is an abundant number, since it is smaller than the sum of its proper divisors (3196455773619).

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

1213258190400 is an equidigital number, since it uses as much as digits as its factorization.

1213258190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 1213258190400 by its sum of digits (36), we get a square (43677294854400 = 6608880²).

1213258190400 divided by its sum of digits (36) gives a square (33701616400 = 183580²).

The spelling of 1213258190400 in words is "one trillion, two hundred thirteen billion, two hundred fifty-eight million, one hundred ninety thousand, four hundred".