122625377280 has 1056 divisors, whose sum is σ = 519958961280. Its totient is φ = 27311800320.

The previous prime is 122625377263. The next prime is 122625377293. The reversal of 122625377280 is 82773526221.

122625377280 is a `hidden beast` number, since 12 + 2 + 625 + 3 + 7 + 7 + 2 + 8 + 0 = 666.

122625377280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291271470 + ... + 291271890.

It is an arithmetic number, because the mean of its divisors is an integer number (492385380).

Almost surely, 2^122625377280 is an apocalyptic number.

122625377280 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 122625377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259979480640).

122625377280 is an abundant number, since it is smaller than the sum of its proper divisors (397333584000).

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

122625377280 is a wasteful number, since it uses less digits than its factorization.

122625377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 122625377280 in words is "one hundred twenty-two billion, six hundred twenty-five million, three hundred seventy-seven thousand, two hundred eighty".