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1002212200000 = 265511412271
BaseRepresentation
bin11101001010110001000…
…00001000111001000000
310112210212220001211101101
432211120200020321000
5112410012310400000
62044224313344144
7132256516066504
oct16453040107100
93483786054341
101002212200000
11357043728560
1214229aa08054
137367b6ac21b
143671617c304
151b10aa92e6a
hexe958808e40

1002212200000 has 504 divisors, whose sum is σ = 2789789192064. Its totient is φ = 354240000000.

The previous prime is 1002212199997. The next prime is 1002212200021. The reversal of 1002212200000 is 22122001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1002212200000.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3698199865 + ... + 3698200135.

It is an arithmetic number, because the mean of its divisors is an integer number (5535296016).

Almost surely, 21002212200000 is an apocalyptic number.

1002212200000 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 1002212200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394894596032).

1002212200000 is an abundant number, since it is smaller than the sum of its proper divisors (1787576992064).

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

1002212200000 is an frugal number, since it uses more digits than its factorization.

1002212200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 330 counting only the distinct ones).

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

Adding to 1002212200000 its reverse (22122001), we get a palindrome (1002234322001).

The spelling of 1002212200000 in words is "one trillion, two billion, two hundred twelve million, two hundred thousand".