Search a number
-
+
121012112011212 = 22324637260145909
BaseRepresentation
bin11011100000111101010011…
…111100110010111111001100
3120212110122102011002101021100
4123200331103330302333030
5111330130301133324322
61105212110301503100
734326556642266222
oct3340752374627714
9525418364071240
10121012112011212
1135615a484a6424
12116a4b5b571a90
13526a515b17946
1421c5035d30b12
15decc093b5dac
hex6e0f53f32fcc

121012112011212 has 36 divisors (see below), whose sum is σ = 306552400903840. Its totient is φ = 40250248913952.

The previous prime is 121012112011171. The next prime is 121012112011213. The reversal of 121012112011212 is 212110211210121.

It is a happy number.

121012112011212 is a `hidden beast` number, since 1 + 210 + 1 + 211 + 20 + 11 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1210121120112122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121012112011213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3630056287 + ... + 3630089622.

Almost surely, 2121012112011212 is an apocalyptic number.

121012112011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121012112011212 is an abundant number, since it is smaller than the sum of its proper divisors (185540288892628).

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

121012112011212 is a wasteful number, since it uses less digits than its factorization.

121012112011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260146382 (or 7260146377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121012112011212 its reverse (212110211210121), we get a palindrome (333122323221333).

The spelling of 121012112011212 in words is "one hundred twenty-one trillion, twelve billion, one hundred twelve million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 463 926 1389 1852 2778 4167 5556 8334 16668 7260145909 14520291818 21780437727 29040583636 43560875454 65341313181 87121750908 130682626362 261365252724 3361447555867 6722895111734 10084342667601 13445790223468 20168685335202 30253028002803 40337370670404 60506056005606 121012112011212