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12401412040 = 235310035301
BaseRepresentation
bin10111000110010111…
…01000011111001000
31012000021110000011001
423203023220133020
5200344230141130
65410325144344
7616214156143
oct134313503710
935007400131
1012401412040
115294301466
1224a125b0b4
13122837ba44
1485906d05a
154c8b126ca
hex2e32e87c8

12401412040 has 16 divisors (see below), whose sum is σ = 27903177180. Its totient is φ = 4960564800.

The previous prime is 12401412031. The next prime is 12401412041. The reversal of 12401412040 is 4021410421.

12401412040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11360575396 + 1040836644 = 106586^2 + 32262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12401411999 and 12401412017.

It is not an unprimeable number, because it can be changed into a prime (12401412041) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 155017611 + ... + 155017690.

Almost surely, 212401412040 is an apocalyptic number.

12401412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12401412040 is an abundant number, since it is smaller than the sum of its proper divisors (15501765140).

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

12401412040 is a wasteful number, since it uses less digits than its factorization.

12401412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310035312 (or 310035308 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12401412040 its reverse (4021410421), we get a palindrome (16422822461).

The spelling of 12401412040 in words is "twelve billion, four hundred one million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 310035301 620070602 1240141204 1550176505 2480282408 3100353010 6200706020 12401412040