220010001192 has 96 divisors (see below), whose sum is σ = 632152333800. Its totient is φ = 68886945792.

The previous prime is 220010001151. The next prime is 220010001223. The reversal of 220010001192 is 291100010022.

220010001192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 219929109156 + 80892036 = 468966^2 + 8994^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446448 + ... + 799584.

Almost surely, 2^220010001192 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 220010001192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316076166900).

220010001192 is an abundant number, since it is smaller than the sum of its proper divisors (412142332608).

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

220010001192 is a wasteful number, since it uses less digits than its factorization.

220010001192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353675 (or 353668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 220010001192 in words is "two hundred twenty billion, ten million, one thousand, one hundred ninety-two".