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12424211032420 = 22511210150831401
BaseRepresentation
bin1011010011001011110010…
…1011110110100101100100
31121222202001121222100112201
42310302330223312211210
53112024241011014140
642231334224424244
72421422350210615
oct264627453664544
947882047870481
1012424211032420
113a60095258200
121487a8b178084
136c17a0c74cc5
1430d499431c0c
151682b00e349a
hexb4cbcaf6964

12424211032420 has 72 divisors (see below), whose sum is σ = 28962309580344. Its totient is φ = 4473163200000.

The previous prime is 12424211032417. The next prime is 12424211032459. The reversal of 12424211032420 is 2423011242421.

It can be written as a sum of positive squares in 4 ways, for example, as 7801642232164 + 4622568800256 = 2793142^2 + 2150016^2 .

It is a super-2 number, since 2×124242110324202 (a number of 27 digits) contains 22 as substring.

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, 25171281 + ... + 25660120.

It is an arithmetic number, because the mean of its divisors is an integer number (402254299727).

Almost surely, 212424211032420 is an apocalyptic number.

12424211032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12424211032420 is an abundant number, since it is smaller than the sum of its proper divisors (16538098547924).

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

12424211032420 is a wasteful number, since it uses less digits than its factorization.

12424211032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50831533 (or 50831520 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12424211032420 its reverse (2423011242421), we get a palindrome (14847222274841).

The spelling of 12424211032420 in words is "twelve trillion, four hundred twenty-four billion, two hundred eleven million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 122210 244420 50831401 101662802 203325604 254157005 508314010 559145411 1016628020 1118290822 2236581644 2795727055 5133971501 5591454110 6150599521 10267943002 11182908220 12301199042 20535886004 24602398084 25669857505 30752997605 51339715010 56473686511 61505995210 102679430020 112947373022 123011990420 225894746044 282368432555 564736865110 621210551621 1129473730220 1242421103242 2484842206484 3106052758105 6212105516210 12424211032420