Search a number
-
+
12190392024300 = 22335272389236869
BaseRepresentation
bin1011000101100100101111…
…1111000111110011101100
31121011101112101021001102000
42301121023333013303230
53044211410324234200
641532104435532300
72365504164350400
oct261311377076354
947141471231360
1012190392024300
11397aa09549716
12144a6b575a090
136a571a2cc829
14302037a27100
15162177b22300
hexb164bfc7cec

12190392024300 has 432 divisors, whose sum is σ = 45705582468000. Its totient is φ = 2779200668160.

The previous prime is 12190392024287. The next prime is 12190392024341. The reversal of 12190392024300 is 342029309121.

12190392024300 is a `hidden beast` number, since 1 + 2 + 19 + 0 + 3 + 9 + 202 + 430 + 0 = 666.

It is a super-2 number, since 2×121903920243002 (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 51346266 + ... + 51583134.

Almost surely, 212190392024300 is an apocalyptic number.

12190392024300 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 12190392024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22852791234000).

12190392024300 is an abundant number, since it is smaller than the sum of its proper divisors (33515190443700).

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

12190392024300 is a wasteful number, since it uses less digits than its factorization.

12190392024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237295 (or 237275 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 12190392024300 in words is "twelve trillion, one hundred ninety billion, three hundred ninety-two million, twenty-four thousand, three hundred".