1210361210400 has 288 divisors, whose sum is σ = 4174935912000. Its totient is φ = 303721574400.

The previous prime is 1210361210363. The next prime is 1210361210441. The reversal of 1210361210400 is 40121630121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6705330 + ... + 6883470.

It is an arithmetic number, because the mean of its divisors is an integer number (14496305250).

Almost surely, 2^{1210361210400} is an apocalyptic number.

1210361210400 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 1210361210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087467956000).

1210361210400 is an abundant number, since it is smaller than the sum of its proper divisors (2964574701600).

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

1210361210400 is a wasteful number, since it uses less digits than its factorization.

1210361210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178332 (or 178319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1210361210400 its reverse (40121630121), we get a palindrome (1250482840521).

The spelling of 1210361210400 in words is "one trillion, two hundred ten billion, three hundred sixty-one million, two hundred ten thousand, four hundred".