10202224120000 has 420 divisors, whose sum is σ = 27886252861368. Its totient is φ = 3671552000000.

The previous prime is 10202224119991. The next prime is 10202224120129. The reversal of 10202224120000 is 2142220201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4488438864 + ... + 4488441136.

Almost surely, 2^{10202224120000} is an apocalyptic number.

10202224120000 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 10202224120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13943126430684).

10202224120000 is an abundant number, since it is smaller than the sum of its proper divisors (17684028741368).

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

10202224120000 is an equidigital number, since it uses as much as digits as its factorization.

10202224120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10202224120000 its reverse (2142220201), we get a palindrome (10204366340201).

The spelling of 10202224120000 in words is "ten trillion, two hundred two billion, two hundred twenty-four million, one hundred twenty thousand".