29901312000 has 1040 divisors, whose sum is σ = 128638278912. Its totient is φ = 6768230400.

The previous prime is 29901311987. The next prime is 29901312017. The reversal of 29901312000 is 21310992.

It is a super-3 number, since 3×29901312000³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290303949 + ... + 290304051.

Almost surely, 2^29901312000 is an apocalyptic number.

29901312000 is a gapful number since it is divisible by the number (20) 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 29901312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64319139456).

29901312000 is an abundant number, since it is smaller than the sum of its proper divisors (98736966912).

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

29901312000 is an equidigital number, since it uses as much as digits as its factorization.

29901312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 120 counting only the distinct ones).

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

Adding to 29901312000 its reverse (21310992), we get a palindrome (29922622992).

The spelling of 29901312000 in words is "twenty-nine billion, nine hundred one million, three hundred twelve thousand".