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20223312012000 = 25335310110717327
BaseRepresentation
bin1001001100100100110110…
…10101000010001011100000
32122121022220101102002202000
410212102123111002023200
510122314320333341000
6111002243345324000
74155041344554306
oct446223325021340
978538811362660
1020223312012000
116497727456959
1223274b6336600
13b39086207446
144dcb5644a276
152510c4bed000
hex12649b5422e0

20223312012000 has 768 divisors, whose sum is σ = 75040808693760. Its totient is φ = 5289281280000.

The previous prime is 20223312011999. The next prime is 20223312012017. The reversal of 20223312012000 is 21021332202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1167147337 + ... + 1167164663.

It is an arithmetic number, because the mean of its divisors is an integer number (97709386320).

Almost surely, 220223312012000 is an apocalyptic number.

20223312012000 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 20223312012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37520404346880).

20223312012000 is an abundant number, since it is smaller than the sum of its proper divisors (54817496681760).

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

20223312012000 is a wasteful number, since it uses less digits than its factorization.

20223312012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17569 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20223312012000 its reverse (21021332202), we get a palindrome (20244333344202).

The spelling of 20223312012000 in words is "twenty trillion, two hundred twenty-three billion, three hundred twelve million, twelve thousand".