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12042202440 = 2335293460403
BaseRepresentation
bin10110011011100010…
…10110110101001000
31011002020112021012210
423031301112311020
5144130300434230
65310534105120
7604263013632
oct131561266510
934066467183
1012042202440
11511a566a24
122400aab1a0
13119bb1c998
14823485a52
154a7309eb0
hex2cdc56d48

12042202440 has 64 divisors (see below), whose sum is σ = 37372363200. Its totient is φ = 3100520192.

The previous prime is 12042202423. The next prime is 12042202457. The reversal of 12042202440 is 4420224021.

12042202440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12042202423) and next prime (12042202457).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1726722 + ... + 1733681.

It is an arithmetic number, because the mean of its divisors is an integer number (583943175).

Almost surely, 212042202440 is an apocalyptic number.

12042202440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042202440 is an abundant number, since it is smaller than the sum of its proper divisors (25330160760).

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

12042202440 is a wasteful number, since it uses less digits than its factorization.

12042202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460446 (or 3460442 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 12042202440 its reverse (4420224021), we get a palindrome (16462426461).

The spelling of 12042202440 in words is "twelve billion, forty-two million, two hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 3460403 6920806 10381209 13841612 17302015 20762418 27683224 34604030 41524836 51906045 69208060 83049672 100351687 103812090 138416120 200703374 207624180 301055061 401406748 415248360 501758435 602110122 802813496 1003516870 1204220244 1505275305 2007033740 2408440488 3010550610 4014067480 6021101220 12042202440