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22010020122000 = 243531761257991
BaseRepresentation
bin1010000000100100110110…
…11011100100110110010000
32212221010201010221021221110
411000102123123210312100
510341103010122401000
6114451132541053320
74431112550116431
oct500223333446620
985833633837843
1022010020122000
117016440616889
122575833257240
13c386c775c381
1456140d7cb488
152827e7898850
hex14049b6e4d90

22010020122000 has 480 divisors, whose sum is σ = 76387661805312. Its totient is φ = 5433431040000.

The previous prime is 22010020121933. The next prime is 22010020122001. The reversal of 22010020122000 is 22102001022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22010020122001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 379513005 + ... + 379570995.

Almost surely, 222010020122000 is an apocalyptic number.

22010020122000 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 22010020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38193830902656).

22010020122000 is an abundant number, since it is smaller than the sum of its proper divisors (54377641683312).

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

22010020122000 is a wasteful number, since it uses less digits than its factorization.

22010020122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58156 (or 58079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22010020122000 its reverse (22102001022), we get a palindrome (22032122123022).

The spelling of 22010020122000 in words is "twenty-two trillion, ten billion, twenty million, one hundred twenty-two thousand".