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212103122122320 = 2435111321061293441
BaseRepresentation
bin110000001110100000011011…
…001111111111011001010000
31000210222212020021011202021120
4300032200123033333121100
5210300044143230403240
62031034455032322240
762450642044032132
oct6016403317773120
91023885207152246
10212103122122320
1161645479a14a30
121b95700a543380
139147314260650
143a53bbb179052
15197c450362ad0
hexc0e81b3ff650

212103122122320 has 320 divisors, whose sum is σ = 772509981696768. Its totient is φ = 47461220352000.

The previous prime is 212103122122319. The next prime is 212103122122337. The reversal of 212103122122320 is 23221221301212.

212103122122320 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722666800 + ... + 722960240.

Almost surely, 2212103122122320 is an apocalyptic number.

212103122122320 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 212103122122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386254990848384).

212103122122320 is an abundant number, since it is smaller than the sum of its proper divisors (560406859574448).

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

212103122122320 is a wasteful number, since it uses less digits than its factorization.

212103122122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314542 (or 314536 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212103122122320 its reverse (23221221301212), we get a palindrome (235324343423532).

The spelling of 212103122122320 in words is "two hundred twelve trillion, one hundred three billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".