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212123231232 = 21031123272927
BaseRepresentation
bin1100010110001110000…
…1111010010000000000
3202021112020021122022120
43011203201322100000
511433412021344412
6241240441004240
721216416500323
oct3054341722000
9667466248276
10212123231232
1181a63041270
123513b783680
1317006b6c593
14a3a421a7ba
1557b7937b8c
hex316387a400

212123231232 has 176 divisors, whose sum is σ = 643603525632. Its totient is φ = 61484769280.

The previous prime is 212123231231. The next prime is 212123231239. The reversal of 212123231232 is 232132321212.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212123231231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640753 + ... + 913679.

Almost surely, 2212123231232 is an apocalyptic number.

212123231232 is a gapful number since it is divisible by the number (22) 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 212123231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321801762816).

212123231232 is an abundant number, since it is smaller than the sum of its proper divisors (431480294400).

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

212123231232 is a wasteful number, since it uses less digits than its factorization.

212123231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272984 (or 272966 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 212123231232 its reverse (232132321212), we get a palindrome (444255552444).

The spelling of 212123231232 in words is "two hundred twelve billion, one hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".