122774809253040 has 3200 divisors, whose sum is σ = 551850795859968. Its totient is φ = 24650850631680.

The previous prime is 122774809252961. The next prime is 122774809253059. The reversal of 122774809253040 is 40352908477221.

122774809253040 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 7 + 480 + 92 + 5 + 30 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 112328278734 + ... + 112328279826.

Almost surely, 2^{122774809253040} is an apocalyptic number.

122774809253040 is a gapful number since it is divisible by the number (10) 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 122774809253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275925397929984).

122774809253040 is an abundant number, since it is smaller than the sum of its proper divisors (429075986606928).

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

122774809253040 is a wasteful number, since it uses less digits than its factorization.

122774809253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 122774809253040 in words is "one hundred twenty-two trillion, seven hundred seventy-four billion, eight hundred nine million, two hundred fifty-three thousand, forty".