122309498880 has 384 divisors, whose sum is σ = 437837400000. Its totient is φ = 32386056192.

The previous prime is 122309498873. The next prime is 122309498881. The reversal of 122309498880 is 88894903221.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×122309498880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122309498881) 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, 41194036 + ... + 41197004.

Almost surely, 2^122309498880 is an apocalyptic number.

122309498880 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 122309498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218918700000).

122309498880 is an abundant number, since it is smaller than the sum of its proper divisors (315527901120).

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

122309498880 is a wasteful number, since it uses less digits than its factorization.

122309498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 122309498880 in words is "one hundred twenty-two billion, three hundred nine million, four hundred ninety-eight thousand, eight hundred eighty".