122048259840 has 1440 divisors, whose sum is σ = 510571708416. Its totient is φ = 27590492160.

The previous prime is 122048259833. The next prime is 122048259841. The reversal of 122048259840 is 48952840221.

122048259840 is a `hidden beast` number, since 12 + 2 + 0 + 4 + 8 + 2 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122048259841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 961009857 + ... + 961009983.

Almost surely, 2^122048259840 is an apocalyptic number.

122048259840 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 122048259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255285854208).

122048259840 is an abundant number, since it is smaller than the sum of its proper divisors (388523448576).

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

122048259840 is a wasteful number, since it uses less digits than its factorization.

122048259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 122048259840 in words is "one hundred twenty-two billion, forty-eight million, two hundred fifty-nine thousand, eight hundred forty".