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21321211212312 = 23311231012344221
BaseRepresentation
bin1001101100100001110110…
…01110000111001000011000
32210111021202212110012001220
410312100323032013020120
510243311320032243222
6113202455035412040
74330256330024364
oct466207316071030
983437685405056
1021321211212312
116880302982a60
12248423a5b4020
13bb87739a487b
14539d488da2a4
1526e931029b5c
hex13643b387218

21321211212312 has 192 divisors, whose sum is σ = 61283852916480. Its totient is φ = 6118854720000.

The previous prime is 21321211212311. The next prime is 21321211212313.

21321211212312 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21321211212311) and next prime (21321211212313).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321211212311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61768362 + ... + 62112582.

It is an arithmetic number, because the mean of its divisors is an integer number (319186733940).

Almost surely, 221321211212312 is an apocalyptic number.

21321211212312 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 21321211212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30641926458240).

21321211212312 is an abundant number, since it is smaller than the sum of its proper divisors (39962641704168).

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

21321211212312 is a wasteful number, since it uses less digits than its factorization.

21321211212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344466 (or 344361 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2132121 and 1212312, that added together give a palindrome (3344433).

The spelling of 21321211212312 in words is "twenty-one trillion, three hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, three hundred twelve".