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1001122012212 = 223711918119193
BaseRepresentation
bin11101001000101111000…
…01011001110000110100
310112201001220200112212220
432210113201121300310
5112400244213342322
62043524211042340
7132220510461450
oct16442741316064
93481056615786
101001122012212
11356634305313
121420358a03b0
13735368857aa
1436651475660
151b094ee955c
hexe917859c34

1001122012212 has 24 divisors (see below), whose sum is σ = 2669658699456. Its totient is φ = 286034860608.

The previous prime is 1001122012183. The next prime is 1001122012217. The reversal of 1001122012212 is 2122102211001.

It is a junction number, because it is equal to n+sod(n) for n = 1001122012191 and 1001122012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122012217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5959059513 + ... + 5959059680.

It is an arithmetic number, because the mean of its divisors is an integer number (111235779144).

Almost surely, 21001122012212 is an apocalyptic number.

1001122012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001122012212 is an abundant number, since it is smaller than the sum of its proper divisors (1668536687244).

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

1001122012212 is a wasteful number, since it uses less digits than its factorization.

1001122012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918119207 (or 11918119205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001122012212 its reverse (2122102211001), we get a palindrome (3123224223213).

The spelling of 1001122012212 in words is "one trillion, one billion, one hundred twenty-two million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 11918119193 23836238386 35754357579 47672476772 71508715158 83426834351 143017430316 166853668702 250280503053 333707337404 500561006106 1001122012212