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2212022112120 = 2332523211615323
BaseRepresentation
bin100000001100000110110…
…010101100111101111000
321211110121121212002221100
4200030012302230331320
5242220210130041440
64412104450411400
7315545653502442
oct40140662547570
97743547762840
102212022112120
117831278a6837
122b8855890b60
1313079248a952
14790c34a7492
153c816ade230
hex20306cacf78

2212022112120 has 144 divisors (see below), whose sum is σ = 7515230781240. Its totient is φ = 564225881472.

The previous prime is 2212022112101. The next prime is 2212022112127. The reversal of 2212022112120 is 212112202122.

It is a happy number.

2212022112120 is a `hidden beast` number, since 221 + 20 + 2 + 211 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2212022112093 and 2212022112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212022112127) 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 35 ways as a sum of consecutive naturals, for example, 5617222 + ... + 5998101.

Almost surely, 22212022112120 is an apocalyptic number.

2212022112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212022112120 is an abundant number, since it is smaller than the sum of its proper divisors (5303208669120).

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

2212022112120 is a wasteful number, since it uses less digits than its factorization.

2212022112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615386 (or 11615356 counting only the distinct ones).

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

Adding to 2212022112120 its reverse (212112202122), we get a palindrome (2424134314242).

The spelling of 2212022112120 in words is "two trillion, two hundred twelve billion, twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 529 552 690 828 920 1035 1058 1380 1587 1656 2070 2116 2645 2760 3174 4140 4232 4761 5290 6348 7935 8280 9522 10580 12696 15870 19044 21160 23805 31740 38088 47610 63480 95220 190440 11615323 23230646 34845969 46461292 58076615 69691938 92922584 104537907 116153230 139383876 174229845 209075814 232306460 267152429 278767752 348459690 418151628 464612920 522689535 534304858 696919380 801457287 836303256 1045379070 1068609716 1335762145 1393838760 1602914574 2090758140 2137219432 2404371861 2671524290 3205829148 4007286435 4181516280 4808743722 5343048580 6144505867 6411658296 8014572870 9617487444 10686097160 12021859305 12289011734 16029145740 18433517601 19234974888 24043718610 24578023468 30722529335 32058291480 36867035202 48087437220 49156046936 55300552803 61445058670 73734070404 92167588005 96174874440 110601105606 122890117340 147468140808 184335176010 221202211212 245780234680 276502764015 368670352020 442404422424 553005528030 737340704040 1106011056060 2212022112120