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121021212312 = 2332711132373491
BaseRepresentation
bin111000010110101101…
…1010010011010011000
3102120101011202120102200
41300231123102122120
53440322412243222
6131332452330200
711513006221530
oct1605533223230
9376334676380
10121021212312
1147363357040
121b555913960
13b548940700
145c00c164c0
153234976eac
hex1c2d6d2698

121021212312 has 576 divisors, whose sum is σ = 454584648960. Its totient is φ = 28223769600.

The previous prime is 121021212311. The next prime is 121021212359. The reversal of 121021212312 is 213212120121.

121021212312 is a `hidden beast` number, since 121 + 0 + 21 + 212 + 312 = 666.

It is a super-2 number, since 2×1210212123122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121021212311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34664887 + ... + 34668377.

It is an arithmetic number, because the mean of its divisors is an integer number (789209460).

Almost surely, 2121021212312 is an apocalyptic number.

121021212312 is a gapful number since it is divisible by the number (12) 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 121021212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227292324480).

121021212312 is an abundant number, since it is smaller than the sum of its proper divisors (333563436648).

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

121021212312 is a wasteful number, since it uses less digits than its factorization.

121021212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3564 counting only the distinct ones).

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

Adding to 121021212312 its reverse (213212120121), we get a palindrome (334233332433).

It can be divided in two parts, 121021 and 212312, that added together give a palindrome (333333).

The spelling of 121021212312 in words is "one hundred twenty-one billion, twenty-one million, two hundred twelve thousand, three hundred twelve".