29120155102192 has 160 divisors (see below), whose sum is σ = 70641977624064. Its totient is φ = 11297187840000.

The previous prime is 29120155102187. The next prime is 29120155102229.

29120155102192 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341128328 + ... + 1341150040.

Almost surely, 2^{29120155102192} is an apocalyptic number.

29120155102192 is a gapful number since it is divisible by the number (22) 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 29120155102192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320988812032).

29120155102192 is an abundant number, since it is smaller than the sum of its proper divisors (41521822521872).

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

29120155102192 is a wasteful number, since it uses less digits than its factorization.

29120155102192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26327 (or 26321 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 40.

The spelling of 29120155102192 in words is "twenty-nine trillion, one hundred twenty billion, one hundred fifty-five million, one hundred two thousand, one hundred ninety-two".