Search a number
-
+
221211212012120 = 235111134449139421
BaseRepresentation
bin110010010011000010111111…
…101101100101101001011000
31002000020120210201011220101202
4302103002333231211221120
5212443311030233341440
62102251010004333332
764410661023512441
oct6223027755455130
91060216721156352
10221211212012120
116453716a2420a0
122098826b3a4248
1396581879868c5
143c8a9734a82c8
151a893280cd615
hexc930bfb65a58

221211212012120 has 64 divisors (see below), whose sum is σ = 547778045636640. Its totient is φ = 79728578406400.

The previous prime is 221211212012113. The next prime is 221211212012123. The reversal of 221211212012120 is 21210212112122.

It is a super-2 number, since 2×2212112120121202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 221211212012092 and 221211212012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211212012123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2224519991 + ... + 2224619430.

Almost surely, 2221211212012120 is an apocalyptic number.

221211212012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211212012120 is an abundant number, since it is smaller than the sum of its proper divisors (326566833624520).

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

221211212012120 is a wasteful number, since it uses less digits than its factorization.

221211212012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449139556 (or 4449139552 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221211212012120 its reverse (21210212112122), we get a palindrome (242421424124242).

The spelling of 221211212012120 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 220 226 440 452 565 904 1130 1243 2260 2486 4520 4972 6215 9944 12430 24860 49720 4449139421 8898278842 17796557684 22245697105 35593115368 44491394210 48940533631 88982788420 97881067262 177965576840 195762134524 244702668155 391524269048 489405336310 502752754573 978810672620 1005505509146 1957621345240 2011011018292 2513763772865 4022022036584 5027527545730 5530280300303 10055055091460 11060560600606 20110110182920 22121121201212 27651401501515 44242242402424 55302803003030 110605606006060 221211212012120