122134727016 has 160 divisors (see below), whose sum is σ = 351793347840. Its totient is φ = 39559715712.

The previous prime is 122134727003. The next prime is 122134727041. The reversal of 122134727016 is 610727431221.

122134727016 is a `hidden beast` number, since 12 + 21 + 347 + 270 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21263841 + ... + 21269583.

It is an arithmetic number, because the mean of its divisors is an integer number (2198708424).

Almost surely, 2^122134727016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122134727016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175896673920).

122134727016 is an abundant number, since it is smaller than the sum of its proper divisors (229658620824).

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

122134727016 is a wasteful number, since it uses less digits than its factorization.

122134727016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 122134727016 in words is "one hundred twenty-two billion, one hundred thirty-four million, seven hundred twenty-seven thousand, sixteen".