10011220032000 has 1280 divisors, whose sum is σ = 39179471924736. Its totient is φ = 2240675840000.

The previous prime is 10011220031999. The next prime is 10011220032001. The reversal of 10011220032000 is 23002211001.

It is an interprime number because it is at equal distance from previous prime (10011220031999) and next prime (10011220032001).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10011220032001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1902909370 + ... + 1902914630.

Almost surely, 2^{10011220032000} is an apocalyptic number.

10011220032000 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 10011220032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19589735962368).

10011220032000 is an abundant number, since it is smaller than the sum of its proper divisors (29168251892736).

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

10011220032000 is a wasteful number, since it uses less digits than its factorization.

10011220032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10011220032000 its reverse (23002211001), we get a palindrome (10034222243001).

The spelling of 10011220032000 in words is "ten trillion, eleven billion, two hundred twenty million, thirty-two thousand".