12061645951680 has 1680 divisors, whose sum is σ = 49433714313984. Its totient is φ = 2772147732480.

The previous prime is 12061645951643. The next prime is 12061645951703. The reversal of 12061645951680 is 8615954616021.

It is a happy number.

12061645951680 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 1 + 6 + 45 + 9 + 516 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8784883474 + ... + 8784884846.

Almost surely, 2^{12061645951680} is an apocalyptic number.

12061645951680 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 12061645951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716857156992).

12061645951680 is an abundant number, since it is smaller than the sum of its proper divisors (37372068362304).

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

12061645951680 is a wasteful number, since it uses less digits than its factorization.

12061645951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 12061645951680 in words is "twelve trillion, sixty-one billion, six hundred forty-five million, nine hundred fifty-one thousand, six hundred eighty".