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1220122001112 = 233767197550241
BaseRepresentation
bin10001110000010100111…
…100000011111011011000
311022122100101210200021220
4101300110330003323120
5124442302213013422
62332303304532040
7154102521614220
oct21602474037330
94278311720256
101220122001112
114304a6074383
12178574481020
138b09833a341
14430a8acb080
1521b11504e5c
hex11c14f03ed8

1220122001112 has 128 divisors (see below), whose sum is σ = 3556059978240. Its totient is φ = 341659422720.

The previous prime is 1220122001101. The next prime is 1220122001141. The reversal of 1220122001112 is 2111002210221.

It is a junction number, because it is equal to n+sod(n) for n = 1220122001091 and 1220122001100.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1942312 + ... + 2492552.

It is an arithmetic number, because the mean of its divisors is an integer number (27781718580).

Almost surely, 21220122001112 is an apocalyptic number.

1220122001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220122001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778029989120).

1220122001112 is an abundant number, since it is smaller than the sum of its proper divisors (2335937977128).

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

1220122001112 is a wasteful number, since it uses less digits than its factorization.

1220122001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550521 (or 550517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220122001112 its reverse (2111002210221), we get a palindrome (3331124211333).

The spelling of 1220122001112 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 197 201 268 394 402 469 536 591 788 804 938 1182 1379 1407 1576 1608 1876 2364 2758 2814 3752 4137 4728 5516 5628 8274 11032 11256 13199 16548 26398 33096 39597 52796 79194 92393 105592 158388 184786 277179 316776 369572 550241 554358 739144 1100482 1108716 1650723 2200964 2217432 3301446 3851687 4401928 6602892 7703374 11555061 13205784 15406748 23110122 30813496 36866147 46220244 73732294 92440488 108397477 110598441 147464588 216794954 221196882 258063029 294929176 325192431 433589908 442393764 516126058 650384862 758782339 774189087 867179816 884787528 1032252116 1300769724 1517564678 1548378174 2064504232 2276347017 2601539448 3035129356 3096756348 4552694034 6070258712 6193512696 7262630959 9105388068 14525261918 18210776136 21787892877 29050523836 43575785754 50838416713 58101047672 87151571508 101676833426 152515250139 174303143016 203353666852 305030500278 406707333704 610061000556 1220122001112