122400550352542 has 288 divisors, whose sum is σ = 247601272504320. Its totient is φ = 45154383120000.

The previous prime is 122400550352513. The next prime is 122400550352551. The reversal of 122400550352542 is 245253055004221.

It is a junction number, because it is equal to n+sod(n) for n = 122400550352495 and 122400550352504.

It is a congruent number.

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, 4282870009 + ... + 4282898587.

It is an arithmetic number, because the mean of its divisors is an integer number (859726640640).

Almost surely, 2^{122400550352542} is an apocalyptic number.

122400550352542 is an abundant number, since it is smaller than the sum of its proper divisors (125200722151778).

122400550352542 is a wasteful number, since it uses less digits than its factorization.

122400550352542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28900 (or 28882 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 122400550352542 in words is "one hundred twenty-two trillion, four hundred billion, five hundred fifty million, three hundred fifty-two thousand, five hundred forty-two".