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212332020000000 = 2835731114157
BaseRepresentation
bin110000010001110101100110…
…101000000110010100000000
31000211210202001112220201112220
4300101311212220012110000
5210312321434110000000
62031331552224251040
762503324252632315
oct6021654650062400
91024722045821486
10212332020000000
116172355a89536a
121b99344ba70a80
139162a924ccc14
143a60cd3172d0c
15198339a7ab1a0
hexc11d66a06500

212332020000000 has 576 divisors, whose sum is σ = 729182358288384. Its totient is φ = 54794880000000.

The previous prime is 212332019999971. The next prime is 212332020000097. The reversal of 212332020000000 is 20233212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859942922 + ... + 1860057078.

Almost surely, 2212332020000000 is an apocalyptic number.

212332020000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212332020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364591179144192).

212332020000000 is an abundant number, since it is smaller than the sum of its proper divisors (516850338288384).

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

212332020000000 is an frugal number, since it uses more digits than its factorization.

212332020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114242 (or 114198 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 212332020000000 its reverse (20233212), we get a palindrome (212332040233212).

The spelling of 212332020000000 in words is "two hundred twelve trillion, three hundred thirty-two billion, twenty million", and thus it is an aban number.