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12101020201200 = 24352710118178803
BaseRepresentation
bin1011000000010111110100…
…0000101011000011110000
31120211211211220102000222210
42300011331000223003300
53041230342132414300
641423044255332120
72356161363366360
oct260057500530360
946754756360883
1012101020201200
113946017481197
121435313221040
1369a176690378
142db99a3289a0
1515eb969cc050
hexb017d02b0f0

12101020201200 has 480 divisors, whose sum is σ = 44987637606912. Its totient is φ = 2723397120000.

The previous prime is 12101020201063. The next prime is 12101020201201. The reversal of 12101020201200 is 210202010121.

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 (12101020201201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153520999 + ... + 153599801.

Almost surely, 212101020201200 is an apocalyptic number.

12101020201200 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 12101020201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22493818803456).

12101020201200 is an abundant number, since it is smaller than the sum of its proper divisors (32886617405712).

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

12101020201200 is a wasteful number, since it uses less digits than its factorization.

12101020201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79113 (or 79102 counting only the distinct ones).

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

Adding to 12101020201200 its reverse (210202010121), we get a palindrome (12311222211321).

The spelling of 12101020201200 in words is "twelve trillion, one hundred one billion, twenty million, two hundred one thousand, two hundred".