12150211253040 has 720 divisors, whose sum is σ = 50868947982528. Its totient is φ = 2584641540096.

The previous prime is 12150211253009. The next prime is 12150211253069. The reversal of 12150211253040 is 4035211205121.

It is a happy number.

12150211253040 is a `hidden beast` number, since 1 + 2 + 1 + 502 + 1 + 125 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 12150211252995 and 12150211253013.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29820934 + ... + 30225626.

Almost surely, 2^{12150211253040} is an apocalyptic number.

12150211253040 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 12150211253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25434473991264).

12150211253040 is an abundant number, since it is smaller than the sum of its proper divisors (38718736729488).

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

12150211253040 is a wasteful number, since it uses less digits than its factorization.

12150211253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404786 (or 404770 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 12150211253040 its reverse (4035211205121), we get a palindrome (16185422458161).

The spelling of 12150211253040 in words is "twelve trillion, one hundred fifty billion, two hundred eleven million, two hundred fifty-three thousand, forty".