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212021121312 = 2532711213237139
BaseRepresentation
bin1100010101110101110…
…0011001000100100000
3202021021010010220211200
43011131130121010200
511433204401340222
6241222352241200
721214036536630
oct3053534310440
9667233126750
10212021121312
1181a10439600
1235111540200
1316cbb96a600
14a39483a6c0
1557ad9b7eac
hex315d719120

212021121312 has 1296 divisors, whose sum is σ = 848375760960. Its totient is φ = 49104506880.

The previous prime is 212021121311. The next prime is 212021121331. The reversal of 212021121312 is 213121120212.

Adding to 212021121312 its reverse (213121120212), we get a palindrome (425142241524).

It can be divided in two parts, 212021 and 121312, that added together give a palindrome (333333).

212021121312 is a `hidden beast` number, since 2 + 120 + 211 + 21 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212021121311) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1525331739 + ... + 1525331877.

Almost surely, 2212021121312 is an apocalyptic number.

212021121312 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 212021121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424187880480).

212021121312 is an abundant number, since it is smaller than the sum of its proper divisors (636354639648).

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

212021121312 is a wasteful number, since it uses less digits than its factorization.

212021121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 212021121312 in words is "two hundred twelve billion, twenty-one million, one hundred twenty-one thousand, three hundred twelve".