752220010112 has 128 divisors (see below), whose sum is σ = 1589546376000. Its totient is φ = 353587175424.

The previous prime is 752220010099. The next prime is 752220010117. The reversal of 752220010112 is 211010022257.

752220010112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×752220010112² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (752220010117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277263668 + ... + 277266380.

Almost surely, 2^752220010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752220010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794773188000).

752220010112 is an abundant number, since it is smaller than the sum of its proper divisors (837326365888).

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

752220010112 is a wasteful number, since it uses less digits than its factorization.

752220010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 752220010112 its reverse (211010022257), we get a palindrome (963230032369).

The spelling of 752220010112 in words is "seven hundred fifty-two billion, two hundred twenty million, ten thousand, one hundred twelve".