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1222102000112 = 247531811137457
BaseRepresentation
bin10001110010001010111…
…101001010000111110000
311022211110101112001022012
4101302022331022013300
5130010331103000422
62333231555102052
7154202553414110
oct21621275120760
94284411461265
101222102000112
1143132179a994
12178a275a1928
138b322600996
1443215a5b040
1521bca2664e2
hex11c8af4a1f0

1222102000112 has 80 divisors (see below), whose sum is σ = 2772376431552. Its totient is φ = 511036231680.

The previous prime is 1222102000019. The next prime is 1222102000283. The reversal of 1222102000112 is 2110002012221.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 15 ways as a sum of consecutive naturals, for example, 505688 + ... + 1643144.

Almost surely, 21222102000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222102000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386188215776).

1222102000112 is an abundant number, since it is smaller than the sum of its proper divisors (1550274431440).

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

1222102000112 is a wasteful number, since it uses less digits than its factorization.

1222102000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137706 (or 1137700 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1222102000112 its reverse (2110002012221), we get a palindrome (3332104012333).

The spelling of 1222102000112 in words is "one trillion, two hundred twenty-two billion, one hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 181 212 362 371 424 724 742 848 1267 1448 1484 2534 2896 2968 5068 5936 9593 10136 19186 20272 38372 67151 76744 134302 153488 268604 537208 1074416 1137457 2274914 4549828 7962199 9099656 15924398 18199312 31848796 60285221 63697592 120570442 127395184 205879717 241140884 411759434 421996547 482281768 823518868 843993094 964563536 1441158019 1647037736 1687986188 2882316038 3294075472 3375972376 5764632076 6751944752 10911625001 11529264152 21823250002 23058528304 43646500004 76381375007 87293000008 152762750014 174586000016 305525500028 611051000056 1222102000112