Search a number
-
+
12213132012120 = 233513109139516727
BaseRepresentation
bin1011000110111001011101…
…1001010010101001011000
31121020120020011120010100010
42301232113121102221120
53100044443243341440
641550345124441520
72400240540145104
oct261562731225130
947216204503303
1012213132012120
113989618697086
121452ba12492a0
136a7902552020
14303193b90904
15162a591c1580
hexb1b97652a58

12213132012120 has 256 divisors, whose sum is σ = 40106360448000. Its totient is φ = 2957293172736.

The previous prime is 12213132012113. The next prime is 12213132012139. The reversal of 12213132012120 is 2121023131221.

12213132012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 23377197 + ... + 23893923.

It is an arithmetic number, because the mean of its divisors is an integer number (156665470500).

Almost surely, 212213132012120 is an apocalyptic number.

12213132012120 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 12213132012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20053180224000).

12213132012120 is an abundant number, since it is smaller than the sum of its proper divisors (27893228435880).

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

12213132012120 is a wasteful number, since it uses less digits than its factorization.

12213132012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517002 (or 516998 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12213132012120 its reverse (2121023131221), we get a palindrome (14334155143341).

The spelling of 12213132012120 in words is "twelve trillion, two hundred thirteen billion, one hundred thirty-two million, twelve thousand, one hundred twenty".