122827223376 has 1080 divisors, whose sum is σ = 453170495232. Its totient is φ = 30730752000.

The previous prime is 122827223339. The next prime is 122827223377. The reversal of 122827223376 is 673322728221.

122827223376 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 272 + 2 + 3 + 376 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122827223377) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2995785916 + ... + 2995785956.

Almost surely, 2^122827223376 is an apocalyptic number.

122827223376 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 122827223376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226585247616).

122827223376 is an abundant number, since it is smaller than the sum of its proper divisors (330343271856).

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

122827223376 is a wasteful number, since it uses less digits than its factorization.

122827223376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 120 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 122827223376 in words is "one hundred twenty-two billion, eight hundred twenty-seven million, two hundred twenty-three thousand, three hundred seventy-six".