122287877712 has 640 divisors, whose sum is σ = 484089016320. Its totient is φ = 28523612160.

The previous prime is 122287877693. The next prime is 122287877713. The reversal of 122287877712 is 217778782221.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122287877713) 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, 15996163 + ... + 16003805.

It is an arithmetic number, because the mean of its divisors is an integer number (756389088).

Almost surely, 2^122287877712 is an apocalyptic number.

122287877712 is a gapful number since it is divisible by the number (12) 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 122287877712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242044508160).

122287877712 is an abundant number, since it is smaller than the sum of its proper divisors (361801138608).

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

122287877712 is a wasteful number, since it uses less digits than its factorization.

122287877712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7728 (or 7716 counting only the distinct ones).

The product of its digits is 2458624, while the sum is 54.

It can be divided in two parts, 122287 and 877712, that added together give a palindrome (999999).

The spelling of 122287877712 in words is "one hundred twenty-two billion, two hundred eighty-seven million, eight hundred seventy-seven thousand, seven hundred twelve".