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2122446442212 = 2232130783450799
BaseRepresentation
bin11110111000101011101…
…010101000111011100100
321111220101221102121021100
4132320223222220323210
5234233232242122322
64303012145120100
7306225126043035
oct36705352507344
97456357377240
102122446442212
11749140759178
122a3417029030
131251b8548285
1474a26aa4a8c
153a322b2edac
hex1ee2baa8ee4

2122446442212 has 36 divisors (see below), whose sum is σ = 5365125875200. Its totient is φ = 707475168432.

The previous prime is 2122446442201. The next prime is 2122446442213.

2122446442212 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 4 + 644 + 2 + 2 + 1 + 2 = 666.

2122446442212 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (2122446442213) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4482789 + ... + 4933587.

Almost surely, 22122446442212 is an apocalyptic number.

It is an amenable number.

2122446442212 is an abundant number, since it is smaller than the sum of its proper divisors (3242679432988).

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

2122446442212 is a wasteful number, since it uses less digits than its factorization.

2122446442212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581592 (or 581587 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 2122446442212 in words is "two trillion, one hundred twenty-two billion, four hundred forty-six million, four hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 130783 261566 392349 450799 523132 784698 901598 1177047 1352397 1569396 1803196 2354094 2704794 4057191 4708188 5409588 8114382 16228764 58956845617 117913691234 176870536851 235827382468 353741073702 530611610553 707482147404 1061223221106 2122446442212