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12424122440 = 2354371101737
BaseRepresentation
bin10111001001000100…
…10001000001001000
31012001212011210221222
423210202101001020
5200421033404230
65412500021212
7616611204212
oct134442210110
935055153858
1012424122440
1152a6103094
1224a8991808
13122cca0a52
1485c0a15b2
154caaeb6e5
hex2e4891048

12424122440 has 64 divisors (see below), whose sum is σ = 29007538560. Its totient is φ = 4785661440.

The previous prime is 12424122407. The next prime is 12424122443. The reversal of 12424122440 is 4422142421.

It is a happy number.

It is a super-2 number, since 2×124241224402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12424122443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71252 + ... + 172988.

It is an arithmetic number, because the mean of its divisors is an integer number (453242790).

Almost surely, 212424122440 is an apocalyptic number.

12424122440 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 12424122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503769280).

12424122440 is an abundant number, since it is smaller than the sum of its proper divisors (16583416120).

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

12424122440 is a wasteful number, since it uses less digits than its factorization.

12424122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101862 (or 101858 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 12424122440 its reverse (4422142421), we get a palindrome (16846264861).

The spelling of 12424122440 in words is "twelve billion, four hundred twenty-four million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 71 86 142 172 215 284 344 355 430 568 710 860 1420 1720 2840 3053 6106 12212 15265 24424 30530 61060 101737 122120 203474 406948 508685 813896 1017370 2034740 4069480 4374691 7223327 8749382 14446654 17498764 21873455 28893308 34997528 36116635 43746910 57786616 72233270 87493820 144466540 174987640 288933080 310603061 621206122 1242412244 1553015305 2484824488 3106030610 6212061220 12424122440