Search a number
-
+
12320601616620 = 2232511101131470299
BaseRepresentation
bin1011001101001001110100…
…0101010011000011101100
31121121211121220120200122100
42303102131011103003230
53103330043003212440
642112001203215100
72411063664543153
oct263223505230354
947554556520570
1012320601616620
113a20157462640
12146b994677490
136b4a9b73978b
1430846ac9059a
15165749087230
hexb349d1530ec

12320601616620 has 288 divisors, whose sum is σ = 41488044998400. Its totient is φ = 2934659520000.

The previous prime is 12320601616619. The next prime is 12320601616633. The reversal of 12320601616620 is 2661610602321.

12320601616620 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 6 + 0 + 16 + 16 + 620 = 666.

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 95 ways as a sum of consecutive naturals, for example, 25962231 + ... + 26432529.

It is an arithmetic number, because the mean of its divisors is an integer number (144055711800).

Almost surely, 212320601616620 is an apocalyptic number.

12320601616620 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 12320601616620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744022499200).

12320601616620 is an abundant number, since it is smaller than the sum of its proper divisors (29167443381780).

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

12320601616620 is a wasteful number, since it uses less digits than its factorization.

12320601616620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470557 (or 470552 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12320601616620 in words is "twelve trillion, three hundred twenty billion, six hundred one million, six hundred sixteen thousand, six hundred twenty".