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1221210102112 = 257112133465881
BaseRepresentation
bin10001110001010101110…
…010110101100101100000
311022202011020020221020221
4101301111302311211200
5130002014241231422
62333003254412424
7154141503411310
oct21612562654540
94282136227227
101221210102112
11430a042a1800
12178818961114
138b20c8b2ca0
144316d40d440
1521b76cda3c7
hex11c55cb5960

1221210102112 has 144 divisors (see below), whose sum is σ = 3252550031136. Its totient is φ = 439196313600.

The previous prime is 1221210102107. The next prime is 1221210102149. The reversal of 1221210102112 is 2112010121221.

It is a super-2 number, since 2×12212101021122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 1380589 + ... + 2085292.

It is an arithmetic number, because the mean of its divisors is an integer number (22587152994).

Almost surely, 21221210102112 is an apocalyptic number.

It is an amenable number.

1221210102112 is an abundant number, since it is smaller than the sum of its proper divisors (2031339929024).

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

1221210102112 is a wasteful number, since it uses less digits than its factorization.

1221210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465933 (or 3465914 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1221210102112 its reverse (2112010121221), we get a palindrome (3333220223333).

The spelling of 1221210102112 in words is "one trillion, two hundred twenty-one billion, two hundred ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 143 154 176 182 208 224 242 286 308 352 364 416 484 572 616 728 847 968 1001 1144 1232 1456 1573 1694 1936 2002 2288 2464 2912 3146 3388 3872 4004 4576 6292 6776 8008 11011 12584 13552 16016 22022 25168 27104 32032 44044 50336 88088 176176 352352 3465881 6931762 13863524 24261167 27727048 38124691 45056453 48522334 55454096 76249382 90112906 97044668 110908192 152498764 180225812 194089336 266872837 304997528 315395171 360451624 388178672 419371601 495620983 533745674 609995056 630790342 720903248 776357344 838743202 991241966 1067491348 1219990112 1261580684 1441806496 1677486404 1982483932 2134982696 2523161368 2935601207 3354972808 3469346881 3964967864 4269965392 5046322736 5451830813 5871202414 6709945616 6938693762 7929935728 8539930784 10092645472 10903661626 11742404828 13419891232 13877387524 15859871456 21807323252 23484809656 27754775048 38162815691 43614646504 46969619312 55509550096 76325631382 87229293008 93939238624 111019100192 152651262764 174458586016 305302525528 610605051056 1221210102112