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99022000111200 = 25335214333199129
BaseRepresentation
bin10110100000111101011011…
…001001000011111001100000
3110222121102002102222112211000
4112200331123021003321200
5100434334024012024300
6550334025010552000
726600050321224135
oct2640753311037140
9428542072875730
1099022000111200
1129607aa3623471
12b133163598600
134333971a3abaa
141a6499457858c
15b6abc96a9c00
hex5a0f5b243e60

99022000111200 has 288 divisors, whose sum is σ = 358379595050400. Its totient is φ = 26387431464960.

The previous prime is 99022000111121. The next prime is 99022000111219. The reversal of 99022000111200 is 211100022099.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29353236 + ... + 32552364.

It is an arithmetic number, because the mean of its divisors is an integer number (1244373593925).

Almost surely, 299022000111200 is an apocalyptic number.

99022000111200 is a gapful number since it is divisible by the number (90) 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 99022000111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179189797525200).

99022000111200 is an abundant number, since it is smaller than the sum of its proper divisors (259357594939200).

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

99022000111200 is a wasteful number, since it uses less digits than its factorization.

99022000111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200591 (or 3200572 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 99022000111200 its reverse (211100022099), we get a palindrome (99233100133299).

The spelling of 99022000111200 in words is "ninety-nine trillion, twenty-two billion, one hundred eleven thousand, two hundred".