12020358314052 has 192 divisors, whose sum is σ = 35478584064000. Its totient is φ = 3483819884160.

The previous prime is 12020358314047. The next prime is 12020358314071. The reversal of 12020358314052 is 25041385302021.

12020358314052 is a `hidden beast` number, since 1 + 2 + 0 + 20 + 3 + 583 + 1 + 4 + 0 + 52 = 666.

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 = 12020358313998 and 12020358314016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450204199 + ... + 450230897.

It is an arithmetic number, because the mean of its divisors is an integer number (184784292000).

Almost surely, 2^{12020358314052} is an apocalyptic number.

12020358314052 is a gapful number since it is divisible by the number (12) 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 12020358314052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739292032000).

12020358314052 is an abundant number, since it is smaller than the sum of its proper divisors (23458225749948).

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

12020358314052 is a wasteful number, since it uses less digits than its factorization.

12020358314052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43223 (or 43215 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12020358314052 in words is "twelve trillion, twenty billion, three hundred fifty-eight million, three hundred fourteen thousand, fifty-two".