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12042739800 = 2335527213389
BaseRepresentation
bin10110011011100110…
…11010000001011000
31011002021112120100000
423031303122001120
5144130420133200
65310553413000
7604300412400
oct131563320130
934067476300
1012042739800
11511a8a3723
12240110a160
13119bc7a450
14823585800
154a73b4300
hex2cdcda058

12042739800 has 864 divisors, whose sum is σ = 52677097200. Its totient is φ = 2534353920.

The previous prime is 12042739789. The next prime is 12042739811. The reversal of 12042739800 is 893724021.

12042739800 is a `hidden beast` number, since 120 + 427 + 39 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12042739789) and next prime (12042739811).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 30958006 + ... + 30958394.

Almost surely, 212042739800 is an apocalyptic number.

12042739800 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 12042739800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26338548600).

12042739800 is an abundant number, since it is smaller than the sum of its proper divisors (40634357400).

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

12042739800 is a wasteful number, since it uses less digits than its factorization.

12042739800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12042739800 in words is "twelve billion, forty-two million, seven hundred thirty-nine thousand, eight hundred".