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221210404012120 = 23586313014925581
BaseRepresentation
bin110010010011000010001111…
…100011010100000001011000
31002000020111201101210020202211
4302103002033203110001120
5212443302401411341440
62102250353502204504
764410632012566345
oct6223021743240130
91060214641706684
10221210404012120
11645368951377a6
1220988084883734
1396580894625b3
143c8a8d80597cc
151a892cc1c5eea
hexc9308f8d4058

221210404012120 has 64 divisors (see below), whose sum is σ = 498683259728640. Its totient is φ = 88313679168000.

The previous prime is 221210404012093. The next prime is 221210404012121. The reversal of 221210404012120 is 21210404012122.

It is a junction number, because it is equal to n+sod(n) for n = 221210404012091 and 221210404012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210404012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42447730 + ... + 47373310.

It is an arithmetic number, because the mean of its divisors is an integer number (7791925933260).

Almost surely, 2221210404012120 is an apocalyptic number.

221210404012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210404012120 is an abundant number, since it is smaller than the sum of its proper divisors (277472855716520).

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

221210404012120 is a wasteful number, since it uses less digits than its factorization.

221210404012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927756 (or 4927752 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221210404012120 its reverse (21210404012122), we get a palindrome (242420808024242).

The spelling of 221210404012120 in words is "two hundred twenty-one trillion, two hundred ten billion, four hundred four million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 863 1301 1726 2602 3452 4315 5204 6505 6904 8630 10408 13010 17260 26020 34520 52040 1122763 2245526 4491052 4925581 5613815 8982104 9851162 11227630 19702324 22455260 24627905 39404648 44910520 49255810 98511620 197023240 4250776403 6408180881 8501552806 12816361762 17003105612 21253882015 25632723524 32040904405 34006211224 42507764030 51265447048 64081808810 85015528060 128163617620 170031056120 256327235240 5530260100303 11060520200606 22121040401212 27651300501515 44242080802424 55302601003030 110605202006060 221210404012120