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132121212 = 223171989383
BaseRepresentation
bin1111110000000…
…00001001111100
3100012121110020020
413320000021330
5232310334322
621035452140
73163004016
oct770001174
9305543206
10132121212
1168640693
12382b7050
13214ac142
14137931b6
15b8ec05c
hex7e0027c

132121212 has 96 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 38725632.

The previous prime is 132121207. The next prime is 132121271. The reversal of 132121212 is 212121231.

It is a nude number because it is divisible by every one of its digits.

132121212 is a modest number, since divided by 121212 gives 132 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 132121191 and 132121200.

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, 344773 + ... + 345155.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2132121212 is an apocalyptic number.

132121212 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 132121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

132121212 is an abundant number, since it is smaller than the sum of its proper divisors (216243588).

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

132121212 is a wasteful number, since it uses less digits than its factorization.

132121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 132121212 is about 11494.3991578507. The cubic root of 132121212 is about 509.3201398606.

Adding to 132121212 its reverse (212121231), we get a palindrome (344242443).

The spelling of 132121212 in words is "one hundred thirty-two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 89 102 114 178 204 228 267 323 356 383 534 646 766 969 1068 1149 1292 1513 1532 1691 1938 2298 3026 3382 3876 4539 4596 5073 6052 6511 6764 7277 9078 10146 13022 14554 18156 19533 20292 21831 26044 28747 29108 34087 39066 43662 57494 68174 78132 86241 87324 102261 114988 123709 136348 172482 204522 247418 344964 371127 409044 494836 579479 647653 742254 1158958 1295306 1484508 1738437 1942959 2317916 2590612 3476874 3885918 6953748 7771836 11010101 22020202 33030303 44040404 66060606 132121212