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1000002212000 = 255311101225023
BaseRepresentation
bin11101000110101001100…
…01101101000010100000
310112121011212120210202222
432203110301231002200
5112341001031241000
62043221125530212
7132150662361011
oct16432461550240
93477155523688
101000002212000
1135610a1a68a0
12141982873968
13733b889160c
1436586861008
151b02ba51a85
hexe8d4c6d0a0

1000002212000 has 192 divisors, whose sum is σ = 2706919907328. Its totient is φ = 360035200000.

The previous prime is 1000002211981. The next prime is 1000002212009. The reversal of 1000002212000 is 2122000001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1000002212009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4331489 + ... + 4556511.

It is an arithmetic number, because the mean of its divisors is an integer number (14098541184).

Almost surely, 21000002212000 is an apocalyptic number.

1000002212000 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 1000002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353459953664).

1000002212000 is an abundant number, since it is smaller than the sum of its proper divisors (1706917695328).

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

1000002212000 is a wasteful number, since it uses less digits than its factorization.

1000002212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225160 (or 225142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1000002212000 its reverse (2122000001), we get a palindrome (1002124212001).

The spelling of 1000002212000 in words is "one trillion, two million, two hundred twelve thousand".