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1221221022102 = 23589102127653
BaseRepresentation
bin10001110001010110011…
…100011111100110010110
311022202011222210201200000
4101301112130133212112
5130002030040201402
62333004324432130
7154141665262104
oct21612634374626
94282158721600
101221221022102
11430a0a480094
12178820548646
138b211c37513
1443170a52c74
1521b77c45c1c
hex11c5671f996

1221221022102 has 96 divisors (see below), whose sum is σ = 2777627492640. Its totient is φ = 402091050240.

The previous prime is 1221221022101. The next prime is 1221221022107. The reversal of 1221221022102 is 2012201221221.

It is a happy number.

1221221022102 is a `hidden beast` number, since 1 + 221 + 221 + 0 + 221 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221221022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44148508 + ... + 44176160.

It is an arithmetic number, because the mean of its divisors is an integer number (28933619715).

Almost surely, 21221221022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221221022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388813746320).

1221221022102 is an abundant number, since it is smaller than the sum of its proper divisors (1556406470538).

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

1221221022102 is a wasteful number, since it uses less digits than its factorization.

1221221022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28780 (or 28768 counting only the distinct ones).

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

Adding to 1221221022102 its reverse (2012201221221), we get a palindrome (3233422243323).

The spelling of 1221221022102 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 801 1021 1602 2042 2403 3063 4806 6126 7209 9189 14418 18378 21627 27567 27653 43254 55134 55306 82701 82959 90869 165402 165918 181738 248103 248877 272607 496206 497754 545214 746631 817821 1493262 1635642 2239893 2453463 2461117 4479786 4906926 4922234 6719679 7360389 7383351 13439358 14720778 14766702 22081167 22150053 28233713 44162334 44300106 56467426 66450159 84701139 132900318 169402278 199350477 254103417 398700954 508206834 598051431 762310251 1196102862 1524620502 2286930753 2512800457 4573861506 5025600914 6860792259 7538401371 13721584518 15076802742 22615204113 45230408226 67845612339 135691224678 203536837017 407073674034 610610511051 1221221022102