122144562504 has 96 divisors (see below), whose sum is σ = 343113558840. Its totient is φ = 39222144000.

The previous prime is 122144562499. The next prime is 122144562509. The reversal of 122144562504 is 405265441221.

122144562504 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 44 + 562 + 50 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (122144562499) and next prime (122144562509).

It can be written as a sum of positive squares in 4 ways, for example, as 103484456100 + 18660106404 = 321690^2 + 136602^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122144562509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42084 + ... + 496044.

Almost surely, 2^122144562504 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 122144562504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171556779420).

122144562504 is an abundant number, since it is smaller than the sum of its proper divisors (220968996336).

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

122144562504 is a wasteful number, since it uses less digits than its factorization.

122144562504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454111 (or 454104 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 122144562504 in words is "one hundred twenty-two billion, one hundred forty-four million, five hundred sixty-two thousand, five hundred four".