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212434860000 = 25354112291009
BaseRepresentation
bin1100010111011000011…
…0101011011111100000
3202022022221200000121210
43011312012223133200
511440031311010000
6241331412150120
721230222342106
oct3056606533740
9668287600553
10212434860000
1182102a38600
1235208008340
13170565ac3bc
14a3d3779c76
1557d4e92350
hex31761ab7e0

212434860000 has 720 divisors, whose sum is σ = 793132678800. Its totient is φ = 49674240000.

The previous prime is 212434859981. The next prime is 212434860017. The reversal of 212434860000 is 68434212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212434860000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210539496 + ... + 210540504.

It is an arithmetic number, because the mean of its divisors is an integer number (1101573165).

Almost surely, 2212434860000 is an apocalyptic number.

212434860000 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 212434860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396566339400).

212434860000 is an abundant number, since it is smaller than the sum of its proper divisors (580697818800).

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

212434860000 is a wasteful number, since it uses less digits than its factorization.

212434860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 212434860000 in words is "two hundred twelve billion, four hundred thirty-four million, eight hundred sixty thousand".