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212333121120 = 253531131108929
BaseRepresentation
bin1100010111000000001…
…0100100111001100000
3202022001212020011010010
43011300002210321200
511434324234333440
6241313335404520
721224545515231
oct3056002447140
9668055204103
10212333121120
118206056968a
1235199b23740
131703b4aa293
14a3c4055088
1557cb097580
hex31700a4e60

212333121120 has 192 divisors, whose sum is σ = 695701923840. Its totient is φ = 54376857600.

The previous prime is 212333121103. The next prime is 212333121157. The reversal of 212333121120 is 21121333212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1894816 + ... + 2003744.

It is an arithmetic number, because the mean of its divisors is an integer number (3623447520).

Almost surely, 2212333121120 is an apocalyptic number.

212333121120 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 212333121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347850961920).

212333121120 is an abundant number, since it is smaller than the sum of its proper divisors (483368802720).

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

212333121120 is a wasteful number, since it uses less digits than its factorization.

212333121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109109 (or 109101 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212333121120 its reverse (21121333212), we get a palindrome (233454454332).

The spelling of 212333121120 in words is "two hundred twelve billion, three hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".