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12421101000 = 23353711173163
BaseRepresentation
bin10111001000101101…
…01111010111001000
31012001122111022022210
423210112233113020
5200414300213000
65412311145120
7616543421310
oct134426572710
935048438283
1012421101000
1152a442a030
1224a79751a0
13122c483709
1485b916440
154ca701350
hex2e45af5c8

12421101000 has 512 divisors, whose sum is σ = 51174789120. Its totient is φ = 2428416000.

The previous prime is 12421100971. The next prime is 12421101019. The reversal of 12421101000 is 10112421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3925419 + ... + 3928581.

It is an arithmetic number, because the mean of its divisors is an integer number (99950760).

Almost surely, 212421101000 is an apocalyptic number.

12421101000 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 12421101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25587394560).

12421101000 is an abundant number, since it is smaller than the sum of its proper divisors (38753688120).

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

12421101000 is a wasteful number, since it uses less digits than its factorization.

12421101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12421101000 its reverse (10112421), we get a palindrome (12431213421).

The spelling of 12421101000 in words is "twelve billion, four hundred twenty-one million, one hundred one thousand".