Search a number
-
+
12403101022400 = 2652111231572479
BaseRepresentation
bin1011010001111101001001…
…1011100011100011000000
31121220201120102202201210202
42310133102123203203000
53111203022330204100
642213523403544332
72420044256120114
oct264372233434300
947821512681722
1012403101022400
113a521421a7230
12148397952b0a8
136bc7b862340a
1430c455963744
15167976bb57d5
hexb47d26e38c0

12403101022400 has 168 divisors, whose sum is σ = 33320973987840. Its totient is φ = 4506546816000.

The previous prime is 12403101022397. The next prime is 12403101022423. The reversal of 12403101022400 is 422010130421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21379361 + ... + 21951839.

It is an arithmetic number, because the mean of its divisors is an integer number (198339130880).

Almost surely, 212403101022400 is an apocalyptic number.

12403101022400 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 12403101022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660486993920).

12403101022400 is an abundant number, since it is smaller than the sum of its proper divisors (20917872965440).

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

12403101022400 is a wasteful number, since it uses less digits than its factorization.

12403101022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573743 (or 573728 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12403101022400 its reverse (422010130421), we get a palindrome (12825111152821).

The spelling of 12403101022400 in words is "twelve trillion, four hundred three billion, one hundred one million, twenty-two thousand, four hundred".