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12401330040 = 2335511115987
BaseRepresentation
bin10111000110010110…
…10100011101111000
31012000021021211200000
423203023110131320
5200344220030130
65410323313000
7616213365111
oct134313243570
935007254600
1012401330040
1152942558a0
1224a121b760
131228350618
1485904b208
154c8ae8260
hex2e32d4778

12401330040 has 192 divisors, whose sum is σ = 45597202560. Its totient is φ = 3006357120.

The previous prime is 12401330033. The next prime is 12401330099. The reversal of 12401330040 is 4003310421.

It is a super-2 number, since 2×124013300402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12401329995 and 12401330022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48927 + ... + 164913.

It is an arithmetic number, because the mean of its divisors is an integer number (237485430).

Almost surely, 212401330040 is an apocalyptic number.

12401330040 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 12401330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22798601280).

12401330040 is an abundant number, since it is smaller than the sum of its proper divisors (33195872520).

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

12401330040 is a wasteful number, since it uses less digits than its factorization.

12401330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116024 (or 116008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12401330040 its reverse (4003310421), we get a palindrome (16404640461).

The spelling of 12401330040 in words is "twelve billion, four hundred one million, three hundred thirty thousand, forty".