122261011157404 has 96 divisors (see below), whose sum is σ = 262884201431040. Its totient is φ = 48580652145600.

The previous prime is 122261011157317. The next prime is 122261011157437. The reversal of 122261011157404 is 404751110162221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430702039 + ... + 430985809.

It is an arithmetic number, because the mean of its divisors is an integer number (2738377098240).

Almost surely, 2^{122261011157404} is an apocalyptic number.

122261011157404 is a gapful number since it is divisible by the number (14) 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 122261011157404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131442100715520).

122261011157404 is an abundant number, since it is smaller than the sum of its proper divisors (140623190273636).

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

122261011157404 is a wasteful number, since it uses less digits than its factorization.

122261011157404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301079 (or 301077 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 122261011157404 in words is "one hundred twenty-two trillion, two hundred sixty-one billion, eleven million, one hundred fifty-seven thousand, four hundred four".