12167729490 has 256 divisors, whose sum is σ = 35300966400. Its totient is φ = 2681280000.

The previous prime is 12167729489. The next prime is 12167729543. The reversal of 12167729490 is 9492776121.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63705295 + ... + 63705485.

It is an arithmetic number, because the mean of its divisors is an integer number (137894400).

Almost surely, 2^12167729490 is an apocalyptic number.

12167729490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12167729490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17650483200).

12167729490 is an abundant number, since it is smaller than the sum of its proper divisors (23133236910).

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

12167729490 is a wasteful number, since it uses less digits than its factorization.

12167729490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 12167729490 in words is "twelve billion, one hundred sixty-seven million, seven hundred twenty-nine thousand, four hundred ninety".