20212113310400 has 168 divisors, whose sum is σ = 54287571109680. Its totient is φ = 7345547776000.

The previous prime is 20212113310399. The next prime is 20212113310427. The reversal of 20212113310400 is 401331121202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29742410 + ... + 30414390.

Almost surely, 2^{20212113310400} is an apocalyptic number.

20212113310400 is a gapful number since it is divisible by the number (20) 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 20212113310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27143785554840).

20212113310400 is an abundant number, since it is smaller than the sum of its proper divisors (34075457799280).

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

20212113310400 is a wasteful number, since it uses less digits than its factorization.

20212113310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673723 (or 673708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20212113310400 its reverse (401331121202), we get a palindrome (20613444431602).

The spelling of 20212113310400 in words is "twenty trillion, two hundred twelve billion, one hundred thirteen million, three hundred ten thousand, four hundred".