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12055520000420 = 22513313727203767
BaseRepresentation
bin1010111101101110010011…
…1111001011100110100100
31120200111101220202100110022
42233123210333023212210
53040004201110003140
641350121320214312
72352661011146651
oct257334477134644
946614356670408
1012055520000420
113928798831976
12142853530a398
13695aa4c56940
142d96c1490c28
1515d8d21d60b5
hexaf6e4fcb9a4

12055520000420 has 96 divisors (see below), whose sum is σ = 27388883977728. Its totient is φ = 4430922642432.

The previous prime is 12055520000393. The next prime is 12055520000473. The reversal of 12055520000420 is 2400002555021.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12055520000420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59061377 + ... + 59265143.

It is an arithmetic number, because the mean of its divisors is an integer number (285300874768).

Almost surely, 212055520000420 is an apocalyptic number.

12055520000420 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 12055520000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694441988864).

12055520000420 is an abundant number, since it is smaller than the sum of its proper divisors (15333363977308).

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

12055520000420 is a wasteful number, since it uses less digits than its factorization.

12055520000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204829 (or 204827 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

Adding to 12055520000420 its reverse (2400002555021), we get a palindrome (14455522555441).

The spelling of 12055520000420 in words is "twelve trillion, fifty-five billion, five hundred twenty million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 313 626 727 1252 1454 1565 2908 3130 3635 4069 6260 7270 8138 9451 14540 16276 18902 20345 37804 40690 47255 81380 94510 189020 203767 227551 407534 455102 815068 910204 1018835 1137755 2037670 2275510 2648971 2958163 4075340 4551020 5297942 5916326 10595884 11832652 13244855 14790815 26489710 29581630 52979420 59163260 63779071 127558142 148138609 255116284 296277218 318895355 592554436 637790710 740693045 829127923 1275581420 1481386090 1658255846 1925801917 2962772180 3316511692 3851603834 4145639615 7703207668 8291279230 9629009585 16582558460 19258019170 38516038340 46367384617 92734769234 185469538468 231836923085 463673846170 602776000021 927347692340 1205552000042 2411104000084 3013880000105 6027760000210 12055520000420