122077734000 has 160 divisors (see below), whose sum is σ = 396680134656. Its totient is φ = 32297529600.

The previous prime is 122077733951. The next prime is 122077734007. The reversal of 122077734000 is 437770221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122077734007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681897 + ... + 842103.

Almost surely, 2^122077734000 is an apocalyptic number.

122077734000 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 122077734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198340067328).

122077734000 is an abundant number, since it is smaller than the sum of its proper divisors (274602400656).

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

122077734000 is a wasteful number, since it uses less digits than its factorization.

122077734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160360 (or 160344 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The spelling of 122077734000 in words is "one hundred twenty-two billion, seventy-seven million, seven hundred thirty-four thousand".