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1000022212000 = 255371719110573
BaseRepresentation
bin11101000110101011111…
…01111111110110100000
310112121020021012220121201
432203111331333312200
5112341021141241000
62043223122330544
7132151324360030
oct16432575776640
93477207186551
101000022212000
1135611a517119
121419894b9a54
13733bca74a36
14365893898c0
151b02d6a296a
hexe8d5f7fda0

1000022212000 has 384 divisors, whose sum is σ = 3129757263360. Its totient is φ = 305709465600.

The previous prime is 1000022211997. The next prime is 1000022212039. The reversal of 1000022212000 is 2122200001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8988714 + ... + 9099286.

It is an arithmetic number, because the mean of its divisors is an integer number (8150409540).

Almost surely, 21000022212000 is an apocalyptic number.

1000022212000 is a gapful number since it is divisible by the number (10) 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 1000022212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564878631680).

1000022212000 is an abundant number, since it is smaller than the sum of its proper divisors (2129735051360).

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

1000022212000 is a wasteful number, since it uses less digits than its factorization.

1000022212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110641 (or 110623 counting only the distinct ones).

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

Adding to 1000022212000 its reverse (2122200001), we get a palindrome (1002144412001).

The spelling of 1000022212000 in words is "one trillion, twenty-two million, two hundred twelve thousand".