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1120201321200 = 2435213503142759
BaseRepresentation
bin10000010011010001001…
…100111010101011110000
310222002102202102012202020
4100103101030322223300
5121323133014234300
62214340253551440
7143634430060503
oct20232114725360
93862382365666
101120201321200
113a2090495675
121611291a5580
13818330b0680
143c30a3d713a
151e2142378a0
hex104d133aaf0

1120201321200 has 240 divisors, whose sum is σ = 3872117168640. Its totient is φ = 275191741440.

The previous prime is 1120201321193. The next prime is 1120201321201. The reversal of 1120201321200 is 21231020211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1120201321200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120201321201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775421 + ... + 7918179.

It is an arithmetic number, because the mean of its divisors is an integer number (16133821536).

Almost surely, 21120201321200 is an apocalyptic number.

1120201321200 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 1120201321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936058584320).

1120201321200 is an abundant number, since it is smaller than the sum of its proper divisors (2751915847440).

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

1120201321200 is a wasteful number, since it uses less digits than its factorization.

1120201321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143296 (or 143285 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1120201321200 its reverse (21231020211), we get a palindrome (1141432341411).

The spelling of 1120201321200 in words is "one trillion, one hundred twenty billion, two hundred one million, three hundred twenty-one thousand, two hundred".