Search a number
-
+
12351423352320 = 2933513219229101
BaseRepresentation
bin1011001110111100101000…
…1100111000111000000000
31121201210011221010002111000
42303233022030320320000
53104331203334233240
642134055432052000
72413234533144003
oct263571214707000
947653157102430
1012351423352320
113a32233532888
121475956834000
136b7971124c00
14309b524c153a
1516644edcd430
hexb3bca338e00

12351423352320 has 2880 divisors, whose sum is σ = 52382276337600. Its totient is φ = 2753475379200.

The previous prime is 12351423352319. The next prime is 12351423352327. The reversal of 12351423352320 is 2325332415321.

12351423352320 is a `hidden beast` number, since 1 + 2 + 3 + 51 + 4 + 233 + 52 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12351423352327) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122291320270 + ... + 122291320370.

It is an arithmetic number, because the mean of its divisors is an integer number (18188290395).

Almost surely, 212351423352320 is an apocalyptic number.

12351423352320 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 12351423352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191138168800).

12351423352320 is an abundant number, since it is smaller than the sum of its proper divisors (40030852985280).

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

12351423352320 is a wasteful number, since it uses less digits than its factorization.

12351423352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 12351423352320 its reverse (2325332415321), we get a palindrome (14676755767641).

The spelling of 12351423352320 in words is "twelve trillion, three hundred fifty-one billion, four hundred twenty-three million, three hundred fifty-two thousand, three hundred twenty".