122301434000 has 160 divisors (see below), whose sum is σ = 313561868256. Its totient is φ = 45978009600.

The previous prime is 122301433993. The next prime is 122301434027. The reversal of 122301434000 is 434103221.

It can be written as a sum of positive squares in 16 ways, for example, as 74970820864 + 47330613136 = 273808^2 + 217556^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28999892 + ... + 29004108.

Almost surely, 2^122301434000 is an apocalyptic number.

122301434000 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 122301434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156780934128).

122301434000 is an abundant number, since it is smaller than the sum of its proper divisors (191260434256).

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

122301434000 is a wasteful number, since it uses less digits than its factorization.

122301434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122301434000 its reverse (434103221), we get a palindrome (122735537221).

The spelling of 122301434000 in words is "one hundred twenty-two billion, three hundred one million, four hundred thirty-four thousand".