122547771225 has 288 divisors, whose sum is σ = 262297211904. Its totient is φ = 54013132800.

The previous prime is 122547771217. The next prime is 122547771233. The reversal of 122547771225 is 522177745221.

122547771225 is a `hidden beast` number, since 1 + 2 + 2 + 547 + 77 + 12 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (122547771217) and next prime (122547771233).

It is not a de Polignac number, because 122547771225 - 2³ = 122547771217 is a prime.

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 287 ways as a sum of consecutive naturals, for example, 347160649 + ... + 347161001.

It is an arithmetic number, because the mean of its divisors is an integer number (910754208).

Almost surely, 2^122547771225 is an apocalyptic number.

122547771225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122547771225 is an abundant number, since it is smaller than the sum of its proper divisors (139749440679).

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

122547771225 is a wasteful number, since it uses less digits than its factorization.

122547771225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The spelling of 122547771225 in words is "one hundred twenty-two billion, five hundred forty-seven million, seven hundred seventy-one thousand, two hundred twenty-five".