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1212110211012 = 2232979404910889
BaseRepresentation
bin10001101000110111011…
…001100000011111000100
311021212200001012120102020
4101220313121200133010
5124324400203223022
62324500304243140
7153400135540461
oct21506731403704
94255601176366
101212110211012
11428064683948
12176ab93104b0
138a3bc52993c
1442948a34668
15217e2e7b35c
hex11a376607c4

1212110211012 has 96 divisors (see below), whose sum is σ = 2963822400000. Its totient is φ = 385035915264.

The previous prime is 1212110210989. The next prime is 1212110211019. The reversal of 1212110211012 is 2101120112121.

It is a happy number.

It is a super-2 number, since 2×12121102110122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1212110210982 and 1212110211000.

It is not an unprimeable number, because it can be changed into a prime (1212110211019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 111309664 + ... + 111320552.

It is an arithmetic number, because the mean of its divisors is an integer number (30873150000).

Almost surely, 21212110211012 is an apocalyptic number.

1212110211012 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 1212110211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481911200000).

1212110211012 is an abundant number, since it is smaller than the sum of its proper divisors (1751712188988).

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

1212110211012 is a wasteful number, since it uses less digits than its factorization.

1212110211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15053 (or 15051 counting only the distinct ones).

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

Adding to 1212110211012 its reverse (2101120112121), we get a palindrome (3313230323133).

The spelling of 1212110211012 in words is "one trillion, two hundred twelve billion, one hundred ten million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 79 87 116 158 174 237 316 348 474 948 2291 4049 4582 6873 8098 9164 10889 12147 13746 16196 21778 24294 27492 32667 43556 48588 65334 117421 130668 234842 315781 319871 352263 469684 631562 639742 704526 860231 947343 959613 1263124 1279484 1409052 1720462 1894686 1919226 2580693 3440924 3789372 3838452 5161386 9276259 10322772 18552518 24946699 27828777 37105036 44089561 49893398 55657554 74840097 88179122 99786796 111315108 132268683 149680194 176358244 264537366 299360388 529074732 1278597269 2557194538 3483075319 3835791807 5114389076 6966150638 7671583614 10449225957 13932301276 15343167228 20898451914 41796903828 101009184251 202018368502 303027552753 404036737004 606055105506 1212110211012