122363781120 has 336 divisors, whose sum is σ = 484774280640. Its totient is φ = 27968274432.

The previous prime is 122363781091. The next prime is 122363781139. The reversal of 122363781120 is 21187363221.

122363781120 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 637 + 8 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556771 + ... + 2604189.

Almost surely, 2^122363781120 is an apocalyptic number.

122363781120 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 122363781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242387140320).

122363781120 is an abundant number, since it is smaller than the sum of its proper divisors (362410499520).

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

122363781120 is an equidigital number, since it uses as much as digits as its factorization.

122363781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47463 (or 47436 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 122363781120 in words is "one hundred twenty-two billion, three hundred sixty-three million, seven hundred eighty-one thousand, one hundred twenty".