122689290240 has 864 divisors, whose sum is σ = 486805842432. Its totient is φ = 28311552000.

The previous prime is 122689290211. The next prime is 122689290281. The reversal of 122689290240 is 42092986221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2011299810 + ... + 2011299870.

It is an arithmetic number, because the mean of its divisors is an integer number (563432688).

Almost surely, 2^122689290240 is an apocalyptic number.

122689290240 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 122689290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243402921216).

122689290240 is an abundant number, since it is smaller than the sum of its proper divisors (364116552192).

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

122689290240 is an equidigital number, since it uses as much as digits as its factorization.

122689290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 122689290240 in words is "one hundred twenty-two billion, six hundred eighty-nine million, two hundred ninety thousand, two hundred forty".