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11122012212120 = 2332530894478367
BaseRepresentation
bin1010000111011000101110…
…0101100100101110011000
31110101020212011011020220200
42201312023211210232120
52424210340111241440
635353214252422200
72225352554652345
oct241661345445630
943336764136820
1011122012212120
1135a8900a41857
1212b762b477960
13628a55470184
142a6445c357cc
15144498135c30
hexa1d8b964b98

11122012212120 has 48 divisors (see below), whose sum is σ = 36146539690560. Its totient is φ = 2965869923136.

The previous prime is 11122012212107. The next prime is 11122012212133. The reversal of 11122012212120 is 2121221022111.

11122012212120 is a `hidden beast` number, since 1 + 11 + 220 + 1 + 221 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11122012212107) and next prime (11122012212133).

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

It is a junction number, because it is equal to n+sod(n) for n = 11122012212093 and 11122012212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15447238824 + ... + 15447239543.

It is an arithmetic number, because the mean of its divisors is an integer number (753052910220).

Almost surely, 211122012212120 is an apocalyptic number.

11122012212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122012212120 is an abundant number, since it is smaller than the sum of its proper divisors (25024527478440).

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

11122012212120 is a wasteful number, since it uses less digits than its factorization.

11122012212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30894478384 (or 30894478377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122012212120 its reverse (2121221022111), we get a palindrome (13243233234231).

The spelling of 11122012212120 in words is "eleven trillion, one hundred twenty-two billion, twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 30894478367 61788956734 92683435101 123577913468 154472391835 185366870202 247155826936 278050305303 308944783670 370733740404 463417175505 556100610606 617889567340 741467480808 926834351010 1112201221212 1235779134680 1390251526515 1853668702020 2224402442424 2780503053030 3707337404040 5561006106060 11122012212120