Search a number
-
+
12421032032 = 2519103241823
BaseRepresentation
bin10111001000101100…
…11110100001100000
31012001122100210201102
423210112132201200
5200414241011112
65412305453532
7616543013243
oct134426364140
935048323642
1012421032032
1152a4392232
1224a79412a8
13122c45b1c6
1485b8d925a
154ca6dabc2
hex2e459e860

12421032032 has 96 divisors (see below), whose sum is σ = 26130424320. Its totient is φ = 5795297280.

The previous prime is 12421032011. The next prime is 12421032037. The reversal of 12421032032 is 23023012421.

It is a junction number, because it is equal to n+sod(n) for n = 12421031995 and 12421032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421032037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15091973 + ... + 15092795.

It is an arithmetic number, because the mean of its divisors is an integer number (272191920).

Almost surely, 212421032032 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 12421032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065212160).

12421032032 is an abundant number, since it is smaller than the sum of its proper divisors (13709392288).

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

12421032032 is a wasteful number, since it uses less digits than its factorization.

12421032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12421032032 its reverse (23023012421), we get a palindrome (35444044453).

The spelling of 12421032032 in words is "twelve billion, four hundred twenty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 103 152 206 241 304 412 482 608 823 824 964 1646 1648 1928 1957 3292 3296 3856 3914 4579 6584 7712 7828 9158 13168 15637 15656 18316 24823 26336 31274 31312 36632 49646 62548 62624 73264 84769 99292 125096 146528 169538 198343 198584 250192 339076 396686 397168 471637 500384 678152 793372 794336 943274 1356304 1586744 1610611 1886548 2712608 3173488 3221222 3768517 3773096 6346976 6442444 7537034 7546192 12884888 15074068 15092384 20429329 25769776 30148136 40858658 51539552 60296272 81717316 120592544 163434632 326869264 388157251 653738528 776314502 1552629004 3105258008 6210516016 12421032032