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12142240440 = 2335119198667
BaseRepresentation
bin10110100111011101…
…11110001010111000
31011100012202201112220
423103232332022320
5144331403143230
65324510204040
7606616224621
oct132356761270
934305681486
1012142240440
115170a83a60
12242a4b3620
1311b6777875
14832886a48
154b0ebad10
hex2d3bbe2b8

12142240440 has 64 divisors (see below), whose sum is σ = 39738245760. Its totient is φ = 2943573120.

The previous prime is 12142240433. The next prime is 12142240447. The reversal of 12142240440 is 4404224121.

It is an interprime number because it is at equal distance from previous prime (12142240433) and next prime (12142240447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12142240440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142240447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4598014 + ... + 4600653.

It is an arithmetic number, because the mean of its divisors is an integer number (620910090).

Almost surely, 212142240440 is an apocalyptic number.

12142240440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142240440 is an abundant number, since it is smaller than the sum of its proper divisors (27596005320).

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

12142240440 is a wasteful number, since it uses less digits than its factorization.

12142240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9198692 (or 9198688 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12142240440 its reverse (4404224121), we get a palindrome (16546464561).

The spelling of 12142240440 in words is "twelve billion, one hundred forty-two million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9198667 18397334 27596001 36794668 45993335 55192002 73589336 91986670 101185337 110384004 137980005 183973340 202370674 220768008 275960010 303556011 367946680 404741348 505926685 551920020 607112022 809482696 1011853370 1103840040 1214224044 1517780055 2023706740 2428448088 3035560110 4047413480 6071120220 12142240440