122334964899840 has 2240 divisors, whose sum is σ = 549329637846528. Its totient is φ = 25302034022400.

The previous prime is 122334964899839. The next prime is 122334964899881. The reversal of 122334964899840 is 48998469433221.

122334964899840 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 496 + 4 + 8 + 9 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61567671327 + ... + 61567673313.

Almost surely, 2^{122334964899840} is an apocalyptic number.

122334964899840 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 122334964899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274664818923264).

122334964899840 is an abundant number, since it is smaller than the sum of its proper divisors (426994672946688).

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

122334964899840 is a wasteful number, since it uses less digits than its factorization.

122334964899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 122334964899840 in words is "one hundred twenty-two trillion, three hundred thirty-four billion, nine hundred sixty-four million, eight hundred ninety-nine thousand, eight hundred forty".