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12134402040 = 2335493120507
BaseRepresentation
bin10110100110100010…
…00100011111111000
31011022200000111021210
423103101010133320
5144322401331130
65324030203120
7606462500265
oct132321043770
934280014253
1012134402040
11516760a942
1224279534a0
1311b4c61b67
1483180626c
154b046d5b0
hex2d34447f8

12134402040 has 64 divisors (see below), whose sum is σ = 36412364160. Its totient is φ = 3235026560.

The previous prime is 12134402039. The next prime is 12134402051. The reversal of 12134402040 is 4020443121.

12134402040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12134401998 and 12134402016.

It is a congruent number.

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, 581467 + ... + 601973.

It is an arithmetic number, because the mean of its divisors is an integer number (568943190).

Almost surely, 212134402040 is an apocalyptic number.

12134402040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134402040 is an abundant number, since it is smaller than the sum of its proper divisors (24277962120).

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

12134402040 is a wasteful number, since it uses less digits than its factorization.

12134402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25452 (or 25448 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12134402040 its reverse (4020443121), we get a palindrome (16154845161).

The spelling of 12134402040 in words is "twelve billion, one hundred thirty-four million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4931 9862 14793 19724 20507 24655 29586 39448 41014 49310 59172 61521 73965 82028 98620 102535 118344 123042 147930 164056 197240 205070 246084 295860 307605 410140 492168 591720 615210 820280 1230420 2460840 101120017 202240034 303360051 404480068 505600085 606720102 808960136 1011200170 1213440204 1516800255 2022400340 2426880408 3033600510 4044800680 6067201020 12134402040