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12042472538880 = 28365723711129
BaseRepresentation
bin1010111100111101101101…
…0011000100001100000000
31120122020201121122122000000
42233033123103010030000
53034300440432221010
641340122512000000
72352016460436330
oct257173323041400
946566647578000
1012042472538880
11392320288aa03
121425ab3830000
136947a5aa80b4
142d8c046cd0c0
1515d3bba0b7c0
hexaf3db4c4300

12042472538880 has 2016 divisors, whose sum is σ = 52348528834560. Its totient is φ = 2593506263040.

The previous prime is 12042472538771. The next prime is 12042472538909. The reversal of 12042472538880 is 8883527424021.

It is a happy number.

12042472538880 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 24 + 7 + 2 + 538 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×120424725388802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10666494156 + ... + 10666495284.

It is an arithmetic number, because the mean of its divisors is an integer number (25966532160).

Almost surely, 212042472538880 is an apocalyptic number.

12042472538880 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 12042472538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26174264417280).

12042472538880 is an abundant number, since it is smaller than the sum of its proper divisors (40306056295680).

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

12042472538880 is an equidigital number, since it uses as much as digits as its factorization.

12042472538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 12042472538880 in words is "twelve trillion, forty-two billion, four hundred seventy-two million, five hundred thirty-eight thousand, eight hundred eighty".