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2200120111200 = 2535211677117519
BaseRepresentation
bin100000000001000001011…
…000001011000001100000
321210022220011010211001110
4200001001120023001200
5242021321222024300
64402415441303320
7314645012245344
oct40010130130140
97708804124043
102200120111200
1177907a49a340
122b6493934b40
1312c616718c5b
14786b48b9624
153c36bc7a550
hex2004160b060

2200120111200 has 576 divisors, whose sum is σ = 8041165332480. Its totient is φ = 517972224000.

The previous prime is 2200120111193. The next prime is 2200120111249. The reversal of 2200120111200 is 21110210022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125576041 + ... + 125593559.

It is an arithmetic number, because the mean of its divisors is an integer number (13960356480).

Almost surely, 22200120111200 is an apocalyptic number.

2200120111200 is a gapful number since it is divisible by the number (20) 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 2200120111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020582666240).

2200120111200 is an abundant number, since it is smaller than the sum of its proper divisors (5841045221280).

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

2200120111200 is a wasteful number, since it uses less digits than its factorization.

2200120111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17691 (or 17678 counting only the distinct ones).

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

Adding to 2200120111200 its reverse (21110210022), we get a palindrome (2221230321222).

The spelling of 2200120111200 in words is "two trillion, two hundred billion, one hundred twenty million, one hundred eleven thousand, two hundred".