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1211010221112 = 233375944352177
BaseRepresentation
bin10001100111110101110…
…101011000010000111000
311021202211101101021221120
4101213311311120100320
5124320122104033422
62324155211505240
7153330651016026
oct21476565302070
94252741337846
101211010221112
1142764a77618a
12176850a58220
138a275680743
14428828d9716
152177b5e845c
hex119f5d58438

1211010221112 has 128 divisors (see below), whose sum is σ = 3169249977600. Its totient is φ = 385224173568.

The previous prime is 1211010221087. The next prime is 1211010221119. The reversal of 1211010221112 is 2111220101121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1211010221091 and 1211010221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211010221119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23183568 + ... + 23235744.

It is an arithmetic number, because the mean of its divisors is an integer number (24759765450).

Almost surely, 21211010221112 is an apocalyptic number.

1211010221112 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 1211010221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584624988800).

1211010221112 is an abundant number, since it is smaller than the sum of its proper divisors (1958239756488).

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

1211010221112 is a wasteful number, since it uses less digits than its factorization.

1211010221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52725 (or 52721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1211010221112 its reverse (2111220101121), we get a palindrome (3322230322233).

The spelling of 1211010221112 in words is "one trillion, two hundred eleven billion, ten million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 59 74 111 118 148 177 222 236 296 354 443 444 472 708 886 888 1329 1416 1772 2183 2658 3544 4366 5316 6549 8732 10632 13098 16391 17464 26137 26196 32782 49173 52177 52274 52392 65564 78411 98346 104354 104548 131128 156531 156822 196692 208708 209096 313062 313644 393384 417416 626124 627288 967069 1252248 1930549 1934138 2901207 3078443 3861098 3868276 5791647 5802414 6156886 7722196 7736552 9235329 11583294 11604828 12313772 15444392 18470658 23114411 23166588 23209656 24627544 36941316 46228822 46333176 69343233 73882632 92457644 113902391 138686466 184915288 227804782 277372932 341707173 455609564 554745864 683414346 855233207 911219128 1363750249 1366828692 1710466414 2565699621 2727500498 2733657384 3420932828 4091250747 5131399242 5455000996 6841865656 8182501494 10262798484 10910001992 16365002988 20525596968 32730005976 50458759213 100917518426 151376277639 201835036852 302752555278 403670073704 605505110556 1211010221112