122742043200 has 336 divisors, whose sum is σ = 511361496960. Its totient is φ = 28055255040.

The previous prime is 122742043183. The next prime is 122742043217. The reversal of 122742043200 is 2340247221.

122742043200 is a `hidden beast` number, since 1 + 227 + 4 + 2 + 0 + 432 + 0 + 0 = 666.

122742043200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122742043183) and next prime (122742043217).

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 99454 + ... + 505346.

Almost surely, 2^122742043200 is an apocalyptic number.

122742043200 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 122742043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255680748480).

122742043200 is an abundant number, since it is smaller than the sum of its proper divisors (388619453760).

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

122742043200 is a wasteful number, since it uses less digits than its factorization.

122742043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405931 (or 405910 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 122742043200 in words is "one hundred twenty-two billion, seven hundred forty-two million, forty-three thousand, two hundred".