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1331321221212 = 2231993767147997
BaseRepresentation
bin10011010111111000111…
…011011011000001011100
311201021101001202100101020
4103113320323123001130
5133303021213034322
62455333414044140
7165120244444203
oct23277073330134
94637331670336
101331321221212
11473679138284
12196028949650
139870a117728
144861727a23a
152496da3205c
hex135f8edb05c

1331321221212 has 48 divisors (see below), whose sum is σ = 3122876198400. Its totient is φ = 441423525312.

The previous prime is 1331321221201. The next prime is 1331321221247. The reversal of 1331321221212 is 2121221231331.

It is a super-2 number, since 2×13313212212122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8921598 + ... + 9069594.

It is an arithmetic number, because the mean of its divisors is an integer number (65059920800).

Almost surely, 21331321221212 is an apocalyptic number.

1331321221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331321221212 is an abundant number, since it is smaller than the sum of its proper divisors (1791554977188).

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

1331321221212 is a wasteful number, since it uses less digits than its factorization.

1331321221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151970 (or 151968 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 1331321221212 its reverse (2121221231331), we get a palindrome (3452542452543).

The spelling of 1331321221212 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 199 398 597 796 1194 2388 3767 7534 11301 15068 22602 45204 147997 295994 443991 591988 749633 887982 1499266 1775964 2248899 2998532 4497798 8995596 29451403 58902806 88354209 117805612 176708418 353416836 557504699 1115009398 1672514097 2230018796 3345028194 6690056388 110943435101 221886870202 332830305303 443773740404 665660610606 1331321221212