122464261532130 has 512 divisors, whose sum is σ = 347711610028032. Its totient is φ = 27027366681600.

The previous prime is 122464261532029. The next prime is 122464261532203. The reversal of 122464261532130 is 31235162464221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 177227585085 + ... + 177227585775.

It is an arithmetic number, because the mean of its divisors is an integer number (679124238336).

Almost surely, 2^{122464261532130} is an apocalyptic number.

122464261532130 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 122464261532130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173855805014016).

122464261532130 is an abundant number, since it is smaller than the sum of its proper divisors (225247348495902).

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

122464261532130 is a wasteful number, since it uses less digits than its factorization.

122464261532130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 122464261532130 in words is "one hundred twenty-two trillion, four hundred sixty-four billion, two hundred sixty-one million, five hundred thirty-two thousand, one hundred thirty".