122540245425 has 144 divisors (see below), whose sum is σ = 243249413680. Its totient is φ = 58577541120.

The previous prime is 122540245397. The next prime is 122540245441. The reversal of 122540245425 is 524542045221.

122540245425 is a `hidden beast` number, since 1 + 22 + 540 + 24 + 54 + 25 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 111176898624 + 11363346801 = 333432^2 + 106599^2 .

It is not a de Polignac number, because 122540245425 - 2¹⁸ = 122539983281 is a prime.

It is a super-2 number, since 2×122540245425² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122540245425.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76730727 + ... + 76732323.

Almost surely, 2^122540245425 is an apocalyptic number.

122540245425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122540245425 is a deficient number, since it is larger than the sum of its proper divisors (120709168255).

122540245425 is a wasteful number, since it uses less digits than its factorization.

122540245425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 122540245425 in words is "one hundred twenty-two billion, five hundred forty million, two hundred forty-five thousand, four hundred twenty-five".