10011212422400 has 324 divisors, whose sum is σ = 28867257064800. Its totient is φ = 3427374182400.

The previous prime is 10011212422391. The next prime is 10011212422439. The reversal of 10011212422400 is 422421211001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216674501 + ... + 216720699.

Almost surely, 2^{10011212422400} is an apocalyptic number.

10011212422400 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 10011212422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433628532400).

10011212422400 is an abundant number, since it is smaller than the sum of its proper divisors (18856044642400).

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

10011212422400 is an equidigital number, since it uses as much as digits as its factorization.

10011212422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46930 (or 46904 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10011212422400 its reverse (422421211001), we get a palindrome (10433633633401).

The spelling of 10011212422400 in words is "ten trillion, eleven billion, two hundred twelve million, four hundred twenty-two thousand, four hundred".