122692036096 has 480 divisors, whose sum is σ = 324227819520. Its totient is φ = 46111887360.

The previous prime is 122692036069. The next prime is 122692036097. The reversal of 122692036096 is 690630296221.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122692036097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3957807601 + ... + 3957807631.

It is an arithmetic number, because the mean of its divisors is an integer number (675474624).

Almost surely, 2^122692036096 is an apocalyptic number.

122692036096 is a gapful number since it is divisible by the number (16) 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 122692036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162113909760).

122692036096 is an abundant number, since it is smaller than the sum of its proper divisors (201535783424).

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

122692036096 is an frugal number, since it uses more digits than its factorization.

122692036096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 122692036096 in words is "one hundred twenty-two billion, six hundred ninety-two million, thirty-six thousand, ninety-six".