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12421210032 = 2434711124471
BaseRepresentation
bin10111001000101110…
…01001111110110000
31012001122200211220000
423210113021332300
5200414312210112
65412313350000
7616544354220
oct134427117660
935048624800
1012421210032
1152a44a3a40
1224a7a08300
13122c4c122a
1485b944080
154ca7237dc
hex2e45c9fb0

12421210032 has 200 divisors, whose sum is σ = 44821869312. Its totient is φ = 3226262400.

The previous prime is 12421210031. The next prime is 12421210033. The reversal of 12421210032 is 23001212421.

It is a happy number.

12421210032 is a `hidden beast` number, since 1 + 2 + 421 + 210 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (12421210031) and next prime (12421210033).

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 = 12421209987 and 12421210014.

It is not an unprimeable number, because it can be changed into a prime (12421210031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37557 + ... + 162027.

Almost surely, 212421210032 is an apocalyptic number.

12421210032 is a gapful number since it is divisible by the number (12) 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 12421210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22410934656).

12421210032 is an abundant number, since it is smaller than the sum of its proper divisors (32400659280).

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

12421210032 is a wasteful number, since it uses less digits than its factorization.

12421210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124509 (or 124494 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12421210032 its reverse (23001212421), we get a palindrome (35422422453).

The spelling of 12421210032 in words is "twelve billion, four hundred twenty-one million, two hundred ten thousand, thirty-two".