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2212201022112 = 253217942912031
BaseRepresentation
bin100000001100010001011…
…101001100001010100000
321211111002002111200022100
4200030101131030022200
5242221041430201422
64412134321210400
7315553255301064
oct40142135141240
97744062450270
102212201022112
11783209894534
122b88a5790a00
131307c056c653
14790dd159aa4
153c82767e7ac
hex2031174c2a0

2212201022112 has 72 divisors (see below), whose sum is σ = 6326091757440. Its totient is φ = 733280768640.

The previous prime is 2212201022077. The next prime is 2212201022153. The reversal of 2212201022112 is 2112201022122.

It is a happy number.

2212201022112 is a `hidden beast` number, since 221 + 220 + 1 + 0 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21404464 + ... + 21507567.

It is an arithmetic number, because the mean of its divisors is an integer number (87862385520).

Almost surely, 22212201022112 is an apocalyptic number.

It is an amenable number.

2212201022112 is an abundant number, since it is smaller than the sum of its proper divisors (4113890735328).

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

2212201022112 is a wasteful number, since it uses less digits than its factorization.

2212201022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42912226 (or 42912215 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212201022112 its reverse (2112201022122), we get a palindrome (4324402044234).

It can be divided in two parts, 22122010 and 22112, that added together give a palindrome (22144122).

The spelling of 2212201022112 in words is "two trillion, two hundred twelve billion, two hundred one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 12888 17184 25776 51552 42912031 85824062 128736093 171648124 257472186 343296248 386208279 514944372 686592496 772416558 1029888744 1373184992 1544833116 2059777488 3089666232 4119554976 6179332464 7681253549 12358664928 15362507098 23043760647 30725014196 46087521294 61450028392 69131281941 92175042588 122900056784 138262563882 184350085176 245800113568 276525127764 368700170352 553050255528 737400340704 1106100511056 2212201022112