122034339927552 has 320 divisors, whose sum is σ = 355927810037184. Its totient is φ = 36925907927040.

The previous prime is 122034339927547. The next prime is 122034339927559. The reversal of 122034339927552 is 255729933430221.

It is a junction number, because it is equal to n+sod(n) for n = 122034339927492 and 122034339927501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122034339927559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9765084568 + ... + 9765097064.

Almost surely, 2^{122034339927552} is an apocalyptic number.

122034339927552 is a gapful number since it is divisible by the number (12) 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 122034339927552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177963905018592).

122034339927552 is an abundant number, since it is smaller than the sum of its proper divisors (233893470109632).

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

122034339927552 is a wasteful number, since it uses less digits than its factorization.

122034339927552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20609 (or 20593 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 122034339927552 in words is "one hundred twenty-two trillion, thirty-four billion, three hundred thirty-nine million, nine hundred twenty-seven thousand, five hundred fifty-two".