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1222413021216 = 25325238115659
BaseRepresentation
bin10001110010011101011…
…111100111000000100000
311022212021001202120001100
4101302131133213000200
5130012000213134331
62333322505234400
7154213351145142
oct21623537470040
94285231676040
101222413021216
11431471311722
12178ab3792a00
138b371b8a03a
144324509cc92
1521be7700ae6
hex11c9d7e7020

1222413021216 has 72 divisors (see below), whose sum is σ = 3482884182960. Its totient is φ = 406691853696.

The previous prime is 1222413021197. The next prime is 1222413021293. The reversal of 1222413021216 is 6121203142221.

1222413021216 is a `hidden beast` number, since 1 + 2 + 22 + 413 + 0 + 212 + 16 = 666.

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

It is a super-2 number, since 2×12224130212162 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1222413021216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3907206 + ... + 4208453.

It is an arithmetic number, because the mean of its divisors is an integer number (48373391430).

Almost surely, 21222413021216 is an apocalyptic number.

1222413021216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1222413021216 is an abundant number, since it is smaller than the sum of its proper divisors (2260471161744).

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

1222413021216 is a wasteful number, since it uses less digits than its factorization.

1222413021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116198 (or 8116187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1222413021216 its reverse (6121203142221), we get a palindrome (7343616163437).

The spelling of 1222413021216 in words is "one trillion, two hundred twenty-two billion, four hundred thirteen million, twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 523 1046 1569 2092 3138 4184 4707 6276 8368 9414 12552 16736 18828 25104 37656 50208 75312 150624 8115659 16231318 24346977 32462636 48693954 64925272 73040931 97387908 129850544 146081862 194775816 259701088 292163724 389551632 584327448 779103264 1168654896 2337309792 4244489657 8488979314 12733468971 16977958628 25466937942 33955917256 38200406913 50933875884 67911834512 76400813826 101867751768 135823669024 152801627652 203735503536 305603255304 407471007072 611206510608 1222413021216