12112070457600 has 729 divisors, whose sum is σ = 46054473290553. Its totient is φ = 3036328427520.

The previous prime is 12112070457593. The next prime is 12112070457631. The reversal of 12112070457600 is 675407021121.

The square root of 12112070457600 is 3480240.

It is a perfect power (a square), and thus also a powerful number.

12112070457600 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 0 + 7 + 0 + 45 + 7 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 10307798251776 + 1804272205824 = 3210576^2 + 1343232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14199378774 + ... + 14199379626.

Almost surely, 2^{12112070457600} is an apocalyptic number.

12112070457600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12112070457600 is the 3480240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112070457600

12112070457600 is an abundant number, since it is smaller than the sum of its proper divisors (33942402832953).

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

12112070457600 is an frugal number, since it uses more digits than its factorization.

12112070457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 12112070457600 by its sum of digits (36), we get a square (436034536473600 = 20881440²).

12112070457600 divided by its sum of digits (36) gives a square (336446401600 = 580040²).

Adding to 12112070457600 its reverse (675407021121), we get a palindrome (12787477478721).

The spelling of 12112070457600 in words is "twelve trillion, one hundred twelve billion, seventy million, four hundred fifty-seven thousand, six hundred".