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1210112021112 = 2332919134926083
BaseRepresentation
bin10001100111000000010…
…011000001001001111000
311021200111210021000011220
4101213000103001021320
5124311302134133422
62323530124152040
7153266463315111
oct21470023011170
94250453230156
101210112021112
11427229763235
12176640098620
138a161567457
14427d94cb208
1521727824e5c
hex119c04c1278

1210112021112 has 128 divisors (see below), whose sum is σ = 3155120640000. Its totient is φ = 386297372160.

The previous prime is 1210112021051. The next prime is 1210112021149. The reversal of 1210112021112 is 2111202110121.

It is a happy number.

It is a super-2 number, since 2×12101120211122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1210112021091 and 1210112021100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46381623 + ... + 46407705.

It is an arithmetic number, because the mean of its divisors is an integer number (24649380000).

Almost surely, 21210112021112 is an apocalyptic number.

1210112021112 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 1210112021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577560320000).

1210112021112 is an abundant number, since it is smaller than the sum of its proper divisors (1945008618888).

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

1210112021112 is a wasteful number, since it uses less digits than its factorization.

1210112021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26661 (or 26657 counting only the distinct ones).

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

Adding to 1210112021112 its reverse (2111202110121), we get a palindrome (3321314131233).

The spelling of 1210112021112 in words is "one trillion, two hundred ten billion, one hundred twelve million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 191 232 348 349 382 573 696 698 764 1047 1146 1396 1528 2094 2292 2792 4188 4584 5539 8376 10121 11078 16617 20242 22156 26083 30363 33234 40484 44312 52166 60726 66468 66659 78249 80968 104332 121452 132936 133318 156498 199977 208664 242904 266636 312996 399954 533272 625992 756407 799908 1512814 1599816 1933111 2269221 3025628 3866222 4538442 4981853 5799333 6051256 7732444 9076884 9102967 9963706 11598666 14945559 15464888 18153768 18205934 19927412 23197332 27308901 29891118 36411868 39854824 46394664 54617802 59782236 72823736 109235604 119564472 144473737 218471208 263986043 288947474 433421211 527972086 577894948 791958129 866842422 1055944172 1155789896 1583916258 1733684844 1738666697 2111888344 3167832516 3467369688 3477333394 5216000091 6335665032 6954666788 10432000182 13909333576 20864000364 41728000728 50421334213 100842668426 151264002639 201685336852 302528005278 403370673704 605056010556 1210112021112