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21032122123012 = 2271113191671655461
BaseRepresentation
bin1001100100000111011000…
…01010110000001100000100
32202110122120202022212000111
410302003230022300030010
510224042241230414022
6112422005025122404
74300343410224220
oct462035412601404
982418522285014
1021032122123012
1167797446a5430
1224381bb189404
13b974224aa050
14529d628b7780
152671616ad477
hex1320ec2b0304

21032122123012 has 192 divisors, whose sum is σ = 52330610626560. Its totient is φ = 7122980851200.

The previous prime is 21032122123003. The next prime is 21032122123013.

21032122123012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21032122123013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11876962 + ... + 13532422.

It is an arithmetic number, because the mean of its divisors is an integer number (272555263680).

Almost surely, 221032122123012 is an apocalyptic number.

21032122123012 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 21032122123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26165305313280).

21032122123012 is an abundant number, since it is smaller than the sum of its proper divisors (31298488503548).

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

21032122123012 is a wasteful number, since it uses less digits than its factorization.

21032122123012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655682 (or 1655680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 2103212 and 2123012, that added together give a palindrome (4226224).

The spelling of 21032122123012 in words is "twenty-one trillion, thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, twelve".