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12355202040 = 2335432394419
BaseRepresentation
bin10111000000110110…
…10110101111111000
31011220001111021221120
423200123112233320
5200300412431130
65401554505240
7615113325126
oct134033265770
934801437846
1012355202040
11527020a185
122489895220
13121b91c74c
14852c80916
154c4a35910
hex2e06d6bf8

12355202040 has 64 divisors (see below), whose sum is σ = 37927612800. Its totient is φ = 3218097792.

The previous prime is 12355202017. The next prime is 12355202051. The reversal of 12355202040 is 4020255321.

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 12355202040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192050 + ... + 1202369.

It is an arithmetic number, because the mean of its divisors is an integer number (592618950).

Almost surely, 212355202040 is an apocalyptic number.

12355202040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12355202040 is an abundant number, since it is smaller than the sum of its proper divisors (25572410760).

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

12355202040 is a wasteful number, since it uses less digits than its factorization.

12355202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394476 (or 2394472 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 12355202040 its reverse (4020255321), we get a palindrome (16375457361).

The spelling of 12355202040 in words is "twelve billion, three hundred fifty-five million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 2394419 4788838 7183257 9577676 11972095 14366514 19155352 23944190 28733028 35916285 47888380 57466056 71832570 95776760 102960017 143665140 205920034 287330280 308880051 411840068 514800085 617760102 823680136 1029600170 1235520204 1544400255 2059200340 2471040408 3088800510 4118400680 6177601020 12355202040