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12402411000 = 2335372292579
BaseRepresentation
bin10111000110011110…
…11100010111111000
31012000100022202110120
423203033130113320
5200400004123000
65410402413240
7616225516440
oct134317342770
935010282416
1012402411000
115294923a51
1224a1661220
13122863b645
1485924d120
154c8c5d6a0
hex2e33dc5f8

12402411000 has 256 divisors, whose sum is σ = 44433792000. Its totient is φ = 2821363200.

The previous prime is 12402410953. The next prime is 12402411011. The reversal of 12402411000 is 11420421.

It is a super-2 number, since 2×124024110002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4807711 + ... + 4810289.

It is an arithmetic number, because the mean of its divisors is an integer number (173569500).

Almost surely, 212402411000 is an apocalyptic number.

12402411000 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 12402411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22216896000).

12402411000 is an abundant number, since it is smaller than the sum of its proper divisors (32031381000).

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

12402411000 is a wasteful number, since it uses less digits than its factorization.

12402411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12402411000 its reverse (11420421), we get a palindrome (12413831421).

The spelling of 12402411000 in words is "twelve billion, four hundred two million, four hundred eleven thousand".