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1222333214124 = 2231117857635603
BaseRepresentation
bin10001110010011000101…
…111001010110110101100
311022212001111120221022010
4101302120233022312230
5130011314300322444
62333310534521220
7154211361614331
oct21623057126654
94285044527263
101222333214124
11431430262450
12178a90b06210
138b35b4966c9
1443238646988
1521be06d92b9
hex11c98bcadac

1222333214124 has 96 divisors (see below), whose sum is σ = 3298266107136. Its totient is φ = 348208199680.

The previous prime is 1222333214101. The next prime is 1222333214147. The reversal of 1222333214124 is 4214123332221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1222333214101) and next prime (1222333214147).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1222333214091 and 1222333214100.

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, 1605307 + ... + 2240909.

It is an arithmetic number, because the mean of its divisors is an integer number (34356938616).

Almost surely, 21222333214124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222333214124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649133053568).

1222333214124 is an abundant number, since it is smaller than the sum of its proper divisors (2075932893012).

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

1222333214124 is a wasteful number, since it uses less digits than its factorization.

1222333214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636495 (or 636493 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 1222333214124 its reverse (4214123332221), we get a palindrome (5436456546345).

The spelling of 1222333214124 in words is "one trillion, two hundred twenty-two billion, three hundred thirty-three million, two hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 857 1122 1714 2244 2571 3428 5142 9427 10284 14569 18854 28281 29138 37708 43707 56562 58276 87414 113124 160259 174828 320518 480777 635603 641036 961554 1271206 1906809 1923108 2542412 3813618 6991633 7627236 10805251 13983266 20974899 21610502 27966532 32415753 41949798 43221004 64831506 83899596 118857761 129663012 237715522 356573283 475431044 544711771 713146566 1089423542 1426293132 1634135313 2178847084 3268270626 5991829481 6536541252 9260100107 11983658962 17975488443 18520200214 23967317924 27780300321 35950976886 37040400428 55560600642 71901953772 101861101177 111121201284 203722202354 305583303531 407444404708 611166607062 1222333214124