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20021121221200 = 245211173118122271
BaseRepresentation
bin1001000110101100001111…
…10100011000001001010000
32121220000000100202201020121
410203112013310120021100
510111011224013034300
6110325324235120024
74134323022315151
oct443260764301120
977800010681217
1020021121221200
116419a00a86150
1222b4288ba3014
13b22ca305c568
144d3055407928
1524abde27a81a
hex123587d18250

20021121221200 has 240 divisors, whose sum is σ = 52823913910272. Its totient is φ = 7231870720000.

The previous prime is 20021121221183. The next prime is 20021121221237. The reversal of 20021121221200 is 212212112002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898966065 + ... + 898988335.

Almost surely, 220021121221200 is an apocalyptic number.

20021121221200 is a gapful number since it is divisible by the number (20) 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 20021121221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411956955136).

20021121221200 is an abundant number, since it is smaller than the sum of its proper divisors (32802792689072).

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

20021121221200 is a wasteful number, since it uses less digits than its factorization.

20021121221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23654 (or 23643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20021121221200 its reverse (212212112002), we get a palindrome (20233333333202).

The spelling of 20021121221200 in words is "twenty trillion, twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".