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20021112132000 = 253537941325321
BaseRepresentation
bin1001000110101100001110…
…10001101101000110100000
32121212222222201122221012120
410203112013101231012200
510111011214201211000
6110325323312224240
74134322552131060
oct443260721550640
977788881587176
1020021112132000
1164199a6938311
1222b4285b3b080
13b22ca11c9435
144d305411d3a0
1524abdd5826a0
hex12358746d1a0

20021112132000 has 384 divisors, whose sum is σ = 74969967840768. Its totient is φ = 4575587328000.

The previous prime is 20021112131957. The next prime is 20021112132017. The reversal of 20021112132000 is 23121112002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 790679340 + ... + 790704660.

It is an arithmetic number, because the mean of its divisors is an integer number (195234291252).

Almost surely, 220021112132000 is an apocalyptic number.

20021112132000 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 20021112132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37484983920384).

20021112132000 is an abundant number, since it is smaller than the sum of its proper divisors (54948855708768).

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

20021112132000 is a wasteful number, since it uses less digits than its factorization.

20021112132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34769 (or 34751 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20021112132000 its reverse (23121112002), we get a palindrome (20044233244002).

The spelling of 20021112132000 in words is "twenty trillion, twenty-one billion, one hundred twelve million, one hundred thirty-two thousand".