12071690400 has 288 divisors, whose sum is σ = 48989864448. Its totient is φ = 2508364800.

The previous prime is 12071690383. The next prime is 12071690437. The reversal of 12071690400 is 409617021.

It is a happy number.

It is a super-2 number, since 2×12071690400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152139 + ... + 217461.

It is an arithmetic number, because the mean of its divisors is an integer number (170103696).

Almost surely, 2^12071690400 is an apocalyptic number.

12071690400 is a gapful number since it is divisible by the number (10) 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 12071690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494932224).

12071690400 is an abundant number, since it is smaller than the sum of its proper divisors (36918174048).

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

12071690400 is a wasteful number, since it uses less digits than its factorization.

12071690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65364 (or 65351 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 12071690400 in words is "twelve billion, seventy-one million, six hundred ninety thousand, four hundred".