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122233213001020 = 225111794193469867
BaseRepresentation
bin11011110010101110100011…
…001111011001110100111100
3121000210101021210000211120211
4123302232203033121310330
5112010132110012013040
61111545055101522204
734514025652404052
oct3362564317316474
9530711253024524
10122233213001020
1135a468a6142470
1211861747873364
135328708c16624
142228194a5a1d2
15e1e8767eb8ea
hex6f2ba33d9d3c

122233213001020 has 96 divisors (see below), whose sum is σ = 296528812312320. Its totient is φ = 41829373424640.

The previous prime is 122233213001017. The next prime is 122233213001047. The reversal of 122233213001020 is 20100312332221.

It is a super-3 number, since 3×1222332130010203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122233213000982 and 122233213001000.

It is a congruent number.

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, 33492127 + ... + 36961993.

It is an arithmetic number, because the mean of its divisors is an integer number (3088841794920).

Almost surely, 2122233213001020 is an apocalyptic number.

122233213001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122233213001020 is an abundant number, since it is smaller than the sum of its proper divisors (174295599311300).

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

122233213001020 is a wasteful number, since it uses less digits than its factorization.

122233213001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479323 (or 3479321 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122233213001020 its reverse (20100312332221), we get a palindrome (142333525333241).

The spelling of 122233213001020 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, two hundred thirteen million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 9419 18838 37676 47095 94190 103609 160123 188380 207218 320246 414436 518045 640492 800615 1036090 1601230 1761353 2072180 3202460 3469867 3522706 6939734 7045412 8806765 13879468 17349335 17613530 34698670 35227060 38168537 58987739 69397340 76337074 117975478 152674148 190842685 235950956 294938695 381685370 589877390 648865129 763370740 1179754780 1297730258 2595460516 3244325645 6488651290 12977302580 32682677273 65365354546 130730709092 163413386365 326826772730 359509450003 555605513641 653653545460 719018900006 1111211027282 1438037800012 1797547250015 2222422054564 2778027568205 3595094500030 5556055136410 6111660650051 7190189000060 11112110272820 12223321300102 24446642600204 30558303250255 61116606500510 122233213001020