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1001122000212 = 223101826008251
BaseRepresentation
bin11101001000101111000…
…01010110110101010100
310112201001220122221102110
432210113201112311110
5112400244213001322
62043524210511020
7132220510411455
oct16442741266524
93481056587373
101001122000212
113566342a72a4
12142035895470
13735368801a9
143665147112c
151b094ee5c0c
hexe917856d54

1001122000212 has 24 divisors (see below), whose sum is σ = 2359079567712. Its totient is φ = 330403300000.

The previous prime is 1001122000199. The next prime is 1001122000223. The reversal of 1001122000212 is 2120002211001.

1001122000212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413002914 + ... + 413005337.

It is an arithmetic number, because the mean of its divisors is an integer number (98294981988).

Almost surely, 21001122000212 is an apocalyptic number.

1001122000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001122000212 is an abundant number, since it is smaller than the sum of its proper divisors (1357957567500).

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

1001122000212 is a wasteful number, since it uses less digits than its factorization.

1001122000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826008359 (or 826008357 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001122000212 its reverse (2120002211001), we get a palindrome (3121124211213).

The spelling of 1001122000212 in words is "one trillion, one billion, one hundred twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 826008251 1652016502 2478024753 3304033004 4956049506 9912099012 83426833351 166853666702 250280500053 333707333404 500561000106 1001122000212