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12420332032 = 29316431217
BaseRepresentation
bin10111001000100111…
…10011101000000000
31012001121001020111111
423210103303220000
5200414101111112
65412242453104
7616534036363
oct134423635000
935047036444
1012420332032
1152a3a54319
1224a7664194
13122c2746c4
1485b7960da
154ca5ed5a7
hex2e44f3a00

12420332032 has 80 divisors (see below), whose sum is σ = 25677856512. Its totient is φ = 5995560960.

The previous prime is 12420332021. The next prime is 12420332083. The reversal of 12420332032 is 23023302421.

It is a junction number, because it is equal to n+sod(n) for n = 12420331994 and 12420332012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10205088 + ... + 10206304.

Almost surely, 212420332032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838928256).

12420332032 is an abundant number, since it is smaller than the sum of its proper divisors (13257524480).

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

12420332032 is an equidigital number, since it uses as much as digits as its factorization.

12420332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12420332032 its reverse (23023302421), we get a palindrome (35443634453).

The spelling of 12420332032 in words is "twelve billion, four hundred twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 643 992 1217 1286 1984 2434 2572 3968 4868 5144 7936 9736 10288 15872 19472 19933 20576 37727 38944 39866 41152 75454 77888 79732 82304 150908 155776 159464 164608 301816 311552 318928 329216 603632 623104 637856 782531 1207264 1275712 1565062 2414528 2551424 3130124 4829056 5102848 6260248 9658112 10205696 12520496 19316224 24258461 25040992 48516922 50081984 97033844 100163968 194067688 200327936 388135376 400655872 776270752 1552541504 3105083008 6210166016 12420332032