29422071120 has 240 divisors, whose sum is σ = 99549378432. Its totient is φ = 7145948160.

The previous prime is 29422071097. The next prime is 29422071167. The reversal of 29422071120 is 2117022492.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19471165 + ... + 19472675.

Almost surely, 2^29422071120 is an apocalyptic number.

29422071120 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 29422071120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49774689216).

29422071120 is an abundant number, since it is smaller than the sum of its proper divisors (70127307312).

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

29422071120 is a wasteful number, since it uses less digits than its factorization.

29422071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 29422071120 in words is "twenty-nine billion, four hundred twenty-two million, seventy-one thousand, one hundred twenty".