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22021022122000 = 24531110188711173
BaseRepresentation
bin1010000000111001010110…
…01100111000000000010000
32212222012002220010210122221
411000130223030320000100
510341243023130401000
6114500152400110424
74431652312432246
oct500345314700020
985865086123587
1022021022122000
1170200769a0270
1225779a3905414
13c3975bc07145
14561b74a5c796
15282c3d6d061a
hex14072b338010

22021022122000 has 320 divisors, whose sum is σ = 58733968071168. Its totient is φ = 7918713600000.

The previous prime is 22021022121929. The next prime is 22021022122009. The reversal of 22021022122000 is 22122012022.

It is a super-2 number, since 2×220210221220002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22021022122009) 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, 1970908414 + ... + 1970919586.

Almost surely, 222021022122000 is an apocalyptic number.

22021022122000 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 22021022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29366984035584).

22021022122000 is an abundant number, since it is smaller than the sum of its proper divisors (36712945949168).

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

22021022122000 is a wasteful number, since it uses less digits than its factorization.

22021022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12195 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22021022122000 its reverse (22122012022), we get a palindrome (22043144134022).

The spelling of 22021022122000 in words is "twenty-two trillion, twenty-one billion, twenty-two million, one hundred twenty-two thousand".