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212422413024120 = 233513434217521859
BaseRepresentation
bin110000010011001001110010…
…011110000111101101111000
31000212010101101012100010102010
4300103021302132013231320
5210320312100213232440
62031441302004405520
762513004263644635
oct6023116236075570
91025111335303363
10212422413024120
1161758926347282
121b9a8a783a68a0
13916b469890540
143a6542a33b18c
1519858db3be580
hexc13272787b78

212422413024120 has 256 divisors, whose sum is σ = 703916118259200. Its totient is φ = 50951260846080.

The previous prime is 212422413024119. The next prime is 212422413024167. The reversal of 212422413024120 is 21420314224212.

212422413024120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2124224130241204 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 24479751 + ... + 32001609.

It is an arithmetic number, because the mean of its divisors is an integer number (2749672336950).

Almost surely, 2212422413024120 is an apocalyptic number.

212422413024120 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 212422413024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351958059129600).

212422413024120 is an abundant number, since it is smaller than the sum of its proper divisors (491493705235080).

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

212422413024120 is a wasteful number, since it uses less digits than its factorization.

212422413024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7522350 (or 7522346 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 212422413024120 its reverse (21420314224212), we get a palindrome (233842727248332).

The spelling of 212422413024120 in words is "two hundred twelve trillion, four hundred twenty-two billion, four hundred thirteen million, twenty-four thousand, one hundred twenty".