122064330240 has 800 divisors, whose sum is σ = 478273745664. Its totient is φ = 29620961280.

The previous prime is 122064330221. The next prime is 122064330251. The reversal of 122064330240 is 42033460221.

122064330240 is a `hidden beast` number, since 1 + 2 + 206 + 433 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109278162 + ... + 109279278.

Almost surely, 2^122064330240 is an apocalyptic number.

122064330240 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 122064330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239136872832).

122064330240 is an abundant number, since it is smaller than the sum of its proper divisors (356209415424).

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

122064330240 is a wasteful number, since it uses less digits than its factorization.

122064330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122064330240 its reverse (42033460221), we get a palindrome (164097790461).

The spelling of 122064330240 in words is "one hundred twenty-two billion, sixty-four million, three hundred thirty thousand, two hundred forty".