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12420332034 = 23111971139501
BaseRepresentation
bin10111001000100111…
…10011101000000010
31012001121001020111120
423210103303220002
5200414101111114
65412242453110
7616534036365
oct134423635002
935047036446
1012420332034
1152a3a54320
1224a7664196
13122c2746c6
1485b7960dc
154ca5ed5a9
hex2e44f3a02

12420332034 has 64 divisors (see below), whose sum is σ = 28927134720. Its totient is φ = 3515400000.

The previous prime is 12420332021. The next prime is 12420332083. The reversal of 12420332034 is 43023302421.

It is a super-3 number, since 3×124203320343 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12420331995 and 12420332013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19284 + ... + 158784.

It is an arithmetic number, because the mean of its divisors is an integer number (451986480).

Almost surely, 212420332034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420332034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463567360).

12420332034 is an abundant number, since it is smaller than the sum of its proper divisors (16506802686).

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

12420332034 is a wasteful number, since it uses less digits than its factorization.

12420332034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139607.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12420332034 its reverse (43023302421), we get a palindrome (55443634455).

The spelling of 12420332034 in words is "twelve billion, four hundred twenty million, three hundred thirty-two thousand, thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 71 114 142 209 213 418 426 627 781 1254 1349 1562 2343 2698 4047 4686 8094 14839 29678 44517 89034 139501 279002 418503 837006 1534511 2650519 3069022 4603533 5301038 7951557 9207066 9904571 15903114 19809142 29155709 29713713 58311418 59427426 87467127 108950281 174934254 188186849 217900562 326850843 376373698 564560547 653701686 1129121094 2070055339 4140110678 6210166017 12420332034