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1002220111200 = 2535271113141399
BaseRepresentation
bin11101001010110001111…
…10010100010101100000
310112210220102221202111210
432211120332110111200
5112410021322024300
62044225155110120
7132256643246310
oct16453076242540
93483812852453
101002220111200
11357048141340
121422a15a2340
137368021c0c9
143671723b440
151b10b607050
hexe958f94560

1002220111200 has 576 divisors, whose sum is σ = 4098337689600. Its totient is φ = 206658816000.

The previous prime is 1002220111169. The next prime is 1002220111201. The reversal of 1002220111200 is 21110222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002220111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24188101 + ... + 24229499.

It is an arithmetic number, because the mean of its divisors is an integer number (7115169600).

Almost surely, 21002220111200 is an apocalyptic number.

1002220111200 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 1002220111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049168844800).

1002220111200 is an abundant number, since it is smaller than the sum of its proper divisors (3096117578400).

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

1002220111200 is a wasteful number, since it uses less digits than its factorization.

1002220111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41571 (or 41558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002220111200 its reverse (21110222001), we get a palindrome (1023330333201).

The spelling of 1002220111200 in words is "one trillion, two billion, two hundred twenty million, one hundred eleven thousand, two hundred".