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22201000012000 = 255324146349741
BaseRepresentation
bin1010000110001000100101…
…01110000010100011100000
32220121101122212021220200201
411003010102232002203200
510402220122000341000
6115114555410554544
74450653322314565
oct503042256024340
986541585256621
1022201000012000
11708a433800917
1225a6851b98a54
13c507120a9a44
1456a76994086c
15287773ebc96a
hex143112b828e0

22201000012000 has 192 divisors, whose sum is σ = 54893603052288. Its totient is φ = 8824273920000.

The previous prime is 22201000011997. The next prime is 22201000012019. The reversal of 22201000012000 is 21000010222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446307130 + ... + 446356870.

It is an arithmetic number, because the mean of its divisors is an integer number (285904182564).

Almost surely, 222201000012000 is an apocalyptic number.

22201000012000 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 22201000012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27446801526144).

22201000012000 is an abundant number, since it is smaller than the sum of its proper divisors (32692603040288).

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

22201000012000 is a wasteful number, since it uses less digits than its factorization.

22201000012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50470 (or 50452 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22201000012000 its reverse (21000010222), we get a palindrome (22222000022222).

The spelling of 22201000012000 in words is "twenty-two trillion, two hundred one billion, twelve thousand".