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1210211110212 = 2231317911500921
BaseRepresentation
bin10001100111000110001…
…101000000110101000100
311021200202200201020212120
4101213012031000311010
5124312003021011322
62323544024045540
7153302105464446
oct21470615006504
94250680636776
101210211110212
1142727a692355
121766693038b0
138a178c4c460
1442808722496
1521731399a5c
hex119c6340d44

1210211110212 has 96 divisors (see below), whose sum is σ = 3223469136384. Its totient is φ = 350082969600.

The previous prime is 1210211110123. The next prime is 1210211110231. The reversal of 1210211110212 is 2120111120121.

It is a happy number.

It is a super-2 number, since 2×12102111102122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1210211110191 and 1210211110200.

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, 2165512 + ... + 2666432.

It is an arithmetic number, because the mean of its divisors is an integer number (33577803504).

Almost surely, 21210211110212 is an apocalyptic number.

1210211110212 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 1210211110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611734568192).

1210211110212 is an abundant number, since it is smaller than the sum of its proper divisors (2013258026172).

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

1210211110212 is a wasteful number, since it uses less digits than its factorization.

1210211110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501869 (or 501867 counting only the distinct ones).

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

Adding to 1210211110212 its reverse (2120111120121), we get a palindrome (3330322230333).

Subtracting 1210211110212 from its reverse (2120111120121), we obtain a palindrome (909900009909).

The spelling of 1210211110212 in words is "one trillion, two hundred ten billion, two hundred eleven million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 911 1326 1822 2652 2733 3644 5466 10932 11843 15487 23686 30974 35529 46461 47372 61948 71058 92922 142116 185844 201331 402662 500921 603993 805324 1001842 1207986 1502763 2003684 2415972 3005526 6011052 6511973 8515657 13023946 17031314 19535919 25546971 26047892 34062628 39071838 51093942 78143676 102187884 110703541 221407082 332110623 442814164 456339031 664221246 912678062 1328442492 1369017093 1825356124 2738034186 5476068372 5932407403 7757763527 11864814806 15515527054 17797222209 23273290581 23729629612 31031054108 35594444418 46546581162 71188888836 93093162324 100850925851 201701851702 302552777553 403403703404 605105555106 1210211110212