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12210421040 = 2454314332477
BaseRepresentation
bin10110101111100110…
…00011110100110000
31011111222001122202022
423113303003310300
5200001331433130
65335343411012
7611404603106
oct132763036460
934458048668
1012210421040
1151a6512064
1224492b3a68
1311c792a20c
1483b953c76
154b6e877e5
hex2d7cc3d30

12210421040 has 80 divisors (see below), whose sum is σ = 29081451168. Its totient is φ = 4765329408.

The previous prime is 12210421039. The next prime is 12210421049. The reversal of 12210421040 is 4012401221.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12210421049) 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, 4928282 + ... + 4930758.

Almost surely, 212210421040 is an apocalyptic number.

12210421040 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 12210421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14540725584).

12210421040 is an abundant number, since it is smaller than the sum of its proper divisors (16871030128).

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

12210421040 is a wasteful number, since it uses less digits than its factorization.

12210421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12210421040 its reverse (4012401221), we get a palindrome (16222822261).

The spelling of 12210421040 in words is "twelve billion, two hundred ten million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1433 1720 2477 2866 3440 4954 5732 7165 9908 11464 12385 14330 19816 22928 24770 28660 39632 49540 57320 61619 99080 106511 114640 123238 198160 213022 246476 308095 426044 492952 532555 616190 852088 985904 1065110 1232380 1704176 2130220 2464760 3549541 4260440 4929520 7099082 8520880 14198164 17747705 28396328 35495410 56792656 70990820 141981640 152630263 283963280 305260526 610521052 763151315 1221042104 1526302630 2442084208 3052605260 6105210520 12210421040