122361249120 has 192 divisors, whose sum is σ = 421731588096. Its totient is φ = 29574881280.

The previous prime is 122361249053. The next prime is 122361249121. The reversal of 122361249120 is 21942163221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122361249121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744977 + ... + 1813743.

It is an arithmetic number, because the mean of its divisors is an integer number (2196518688).

Almost surely, 2^122361249120 is an apocalyptic number.

122361249120 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 122361249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210865794048).

122361249120 is an abundant number, since it is smaller than the sum of its proper divisors (299370338976).

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

122361249120 is a wasteful number, since it uses less digits than its factorization.

122361249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69133 (or 69125 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 122361249120 in words is "one hundred twenty-two billion, three hundred sixty-one million, two hundred forty-nine thousand, one hundred twenty".