34129797120000 has 1530 divisors, whose sum is σ = 128945695269248. Its totient is φ = 9029615616000.

The previous prime is 34129797119987. The next prime is 34129797120011. The reversal of 34129797120000 is 2179792143.

34129797120000 is a `hidden beast` number, since 341 + 297 + 9 + 7 + 12 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 268738559937 + ... + 268738560063.

Almost surely, 2^{34129797120000} is an apocalyptic number.

34129797120000 is a gapful number since it is divisible by the number (30) 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 34129797120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64472847634624).

34129797120000 is an abundant number, since it is smaller than the sum of its proper divisors (94815898149248).

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

34129797120000 is an frugal number, since it uses more digits than its factorization.

34129797120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 34129797120000 in words is "thirty-four trillion, one hundred twenty-nine billion, seven hundred ninety-seven million, one hundred twenty thousand".