122568240 has 80 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 30963456.

The previous prime is 122568233. The next prime is 122568253. The reversal of 122568240 is 42865221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122568198 and 122568207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8880 + ... + 17999.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^122568240 is an apocalyptic number.

122568240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122568240 is an abundant number, since it is smaller than the sum of its proper divisors (277406160).

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

122568240 is a wasteful number, since it uses less digits than its factorization.

122568240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26914 (or 26908 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 122568240 is about 11071.0541503508. The cubic root of 122568240 is about 496.7363974784.

The spelling of 122568240 in words is "one hundred twenty-two million, five hundred sixty-eight thousand, two hundred forty".