122240000340 has 192 divisors, whose sum is σ = 382356710400. Its totient is φ = 32421814272.

The previous prime is 122240000299. The next prime is 122240000359. The reversal of 122240000340 is 43000042221.

122240000340 is a `hidden beast` number, since 1 + 222 + 400 + 0 + 0 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114349326 + ... + 114350394.

It is an arithmetic number, because the mean of its divisors is an integer number (1991441200).

Almost surely, 2^122240000340 is an apocalyptic number.

122240000340 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 122240000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191178355200).

122240000340 is an abundant number, since it is smaller than the sum of its proper divisors (260116710060).

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

122240000340 is a wasteful number, since it uses less digits than its factorization.

122240000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 122240000340 its reverse (43000042221), we get a palindrome (165240042561).

The spelling of 122240000340 in words is "one hundred twenty-two billion, two hundred forty million, three hundred forty", and thus it is an aban number.