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12042051840 = 283357213547
BaseRepresentation
bin10110011011100001…
…10010000100000000
31011002020020121122000
423031300302010000
5144130231124330
65310530544000
7604261515600
oct131560620400
934066217560
1012042051840
11511a473865
122400a38000
13119ba99280
14823446c00
154a72ca560
hex2cdc32100

12042051840 has 864 divisors, whose sum is σ = 53630962560. Its totient is φ = 2536095744.

The previous prime is 12042051823. The next prime is 12042051851. The reversal of 12042051840 is 4815024021.

12042051840 is a `hidden beast` number, since 120 + 4 + 20 + 518 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×120420518402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22014447 + ... + 22014993.

Almost surely, 212042051840 is an apocalyptic number.

12042051840 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 12042051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26815481280).

12042051840 is an abundant number, since it is smaller than the sum of its proper divisors (41588910720).

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

12042051840 is a wasteful number, since it uses less digits than its factorization.

12042051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12042051840 its reverse (4815024021), we get a palindrome (16857075861).

The spelling of 12042051840 in words is "twelve billion, forty-two million, fifty-one thousand, eight hundred forty".