10212224024400 has 120 divisors (see below), whose sum is σ = 32951940327744. Its totient is φ = 2703381888000.

The previous prime is 10212224024389. The next prime is 10212224024447. The reversal of 10212224024400 is 442042221201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 30894676 + ... + 31223475.

Almost surely, 2^{10212224024400} is an apocalyptic number.

10212224024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212224024400 is an abundant number, since it is smaller than the sum of its proper divisors (22739716303344).

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

10212224024400 is a wasteful number, since it uses less digits than its factorization.

10212224024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62118309 (or 62118298 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10212224024400 its reverse (442042221201), we get a palindrome (10654266245601).

The spelling of 10212224024400 in words is "ten trillion, two hundred twelve billion, two hundred twenty-four million, twenty-four thousand, four hundred".