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12421131100440 = 2335234500409819
BaseRepresentation
bin1011010011000000010100…
…0110110110000100011000
31121222110002222112121010220
42310300011012312010120
53112001434030203230
642230104443040040
72421253131214236
oct264600506660430
947873088477126
1012421131100440
113a59854762777
12148736b810020
136c13ccb5534a
1430d28637d956
1516817ea10d10
hexb4c051b6118

12421131100440 has 64 divisors (see below), whose sum is σ = 38883540844800. Its totient is φ = 3168288511872.

The previous prime is 12421131100429. The next prime is 12421131100487. The reversal of 12421131100440 is 4400113112421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12421131100440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250202150 + ... + 2250207669.

It is an arithmetic number, because the mean of its divisors is an integer number (607555325700).

Almost surely, 212421131100440 is an apocalyptic number.

12421131100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421131100440 is an abundant number, since it is smaller than the sum of its proper divisors (26462409744360).

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

12421131100440 is a wasteful number, since it uses less digits than its factorization.

12421131100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500409856 (or 4500409852 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12421131100440 its reverse (4400113112421), we get a palindrome (16821244212861).

The spelling of 12421131100440 in words is "twelve trillion, four hundred twenty-one billion, one hundred thirty-one million, one hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4500409819 9000819638 13501229457 18001639276 22502049095 27002458914 36003278552 45004098190 54004917828 67506147285 90008196380 103509425837 108009835656 135012294570 180016392760 207018851674 270024589140 310528277511 414037703348 517547129185 540049178280 621056555022 828075406696 1035094258370 1242113110044 1552641387555 2070188516740 2484226220088 3105282775110 4140377033480 6210565550220 12421131100440