12070615104540 has 288 divisors, whose sum is σ = 39902343586560. Its totient is φ = 2942101094400.

The previous prime is 12070615104511. The next prime is 12070615104551. The reversal of 12070615104540 is 4540151607021.

12070615104540 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 0 + 6 + 1 + 5 + 104 + 540 = 666.

It is a super-2 number, since 2×12070615104540² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12070615104495 and 12070615104504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14336860 + ... + 15155420.

It is an arithmetic number, because the mean of its divisors is an integer number (138549804120).

Almost surely, 2^{12070615104540} is an apocalyptic number.

12070615104540 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 12070615104540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951171793280).

12070615104540 is an abundant number, since it is smaller than the sum of its proper divisors (27831728482020).

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

12070615104540 is a wasteful number, since it uses less digits than its factorization.

12070615104540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818733 (or 818728 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12070615104540 in words is "twelve trillion, seventy billion, six hundred fifteen million, one hundred four thousand, five hundred forty".