122737166790 has 128 divisors (see below), whose sum is σ = 341798123520. Its totient is φ = 27626188800.

The previous prime is 122737166779. The next prime is 122737166791. The reversal of 122737166790 is 97661737221.

It is a happy number.

It is a super-2 number, since 2×122737166790² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122737166791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13846960 + ... + 13855820.

It is an arithmetic number, because the mean of its divisors is an integer number (2670297840).

Almost surely, 2^122737166790 is an apocalyptic number.

122737166790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122737166790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170899061760).

122737166790 is an abundant number, since it is smaller than the sum of its proper divisors (219060956730).

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

122737166790 is a wasteful number, since it uses less digits than its factorization.

122737166790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9878.

The product of its (nonzero) digits is 1333584, while the sum is 51.

The spelling of 122737166790 in words is "one hundred twenty-two billion, seven hundred thirty-seven million, one hundred sixty-six thousand, seven hundred ninety".