29901312 has 200 divisors, whose sum is σ = 102987456. Its totient is φ = 8460288.

The previous prime is 29901299. The next prime is 29901343. The reversal of 29901312 is 21310992.

It is a super-3 number, since 3×29901312³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290253 + ... + 290355.

Almost surely, 2^29901312 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 29901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51493728).

29901312 is an abundant number, since it is smaller than the sum of its proper divisors (73086144).

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

29901312 is an equidigital number, since it uses as much as digits as its factorization.

29901312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 29901312 is about 5468.2092132617. The cubic root of 29901312 is about 310.3821579003.

The spelling of 29901312 in words is "twenty-nine million, nine hundred one thousand, three hundred twelve".