10122202320120 has 192 divisors, whose sum is σ = 35929598889600. Its totient is φ = 2451009749760.

The previous prime is 10122202320107. The next prime is 10122202320149. The reversal of 10122202320120 is 2102320222101.

10122202320120 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 220 + 2 + 320 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10122202320093 and 10122202320102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1913799 + ... + 4889481.

It is an arithmetic number, because the mean of its divisors is an integer number (187133327550).

Almost surely, 2^{10122202320120} is an apocalyptic number.

10122202320120 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 10122202320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964799444800).

10122202320120 is an abundant number, since it is smaller than the sum of its proper divisors (25807396569480).

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

10122202320120 is a wasteful number, since it uses less digits than its factorization.

10122202320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976570 (or 2976563 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10122202320120 its reverse (2102320222101), we get a palindrome (12224522542221).

The spelling of 10122202320120 in words is "ten trillion, one hundred twenty-two billion, two hundred two million, three hundred twenty thousand, one hundred twenty".