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212494941120 = 263571131471973
BaseRepresentation
bin1100010111100110101…
…1110111101111000000
3202022111010201110102110
43011321223313233000
511440142201103440
6241341400015320
721231552124530
oct3057153675700
9668433643373
10212494941120
1182133944420
1235224161540
1317065b87267
14a3db7394c0
1557da3ae080
hex3179af7bc0

212494941120 has 896 divisors, whose sum is σ = 887206182912. Its totient is φ = 41800089600.

The previous prime is 212494941101. The next prime is 212494941137. The reversal of 212494941120 is 21149494212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107700454 + ... + 107702426.

It is an arithmetic number, because the mean of its divisors is an integer number (990185472).

Almost surely, 2212494941120 is an apocalyptic number.

212494941120 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 212494941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443603091456).

212494941120 is an abundant number, since it is smaller than the sum of its proper divisors (674711241792).

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

212494941120 is a wasteful number, since it uses less digits than its factorization.

212494941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 212494941120 in words is "two hundred twelve billion, four hundred ninety-four million, nine hundred forty-one thousand, one hundred twenty".