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212311320000 = 2635413219229
BaseRepresentation
bin1100010110111010111…
…1011010010111000000
3202022000100012112121020
43011232233122113000
511434303144220000
6241311240225440
721224162305143
oct3055657322700
9668010175536
10212311320000
118204a22912a
123519276b280
1317036b16100
14a3c11bc05a
1557c91dcba0
hex316ebda5c0

212311320000 has 1260 divisors, whose sum is σ = 829873824120. Its totient is φ = 47803392000.

The previous prime is 212311319963. The next prime is 212311320041. The reversal of 212311320000 is 23113212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7321079986 + ... + 7321080014.

Almost surely, 2212311320000 is an apocalyptic number.

212311320000 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 212311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414936912060).

212311320000 is an abundant number, since it is smaller than the sum of its proper divisors (617562504120).

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

212311320000 is a wasteful number, since it uses less digits than its factorization.

212311320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212311320000 its reverse (23113212), we get a palindrome (212334433212).

The spelling of 212311320000 in words is "two hundred twelve billion, three hundred eleven million, three hundred twenty thousand".