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1121122200 = 2335211374591
BaseRepresentation
bin100001011010010…
…1111011110011000
32220010120220112110
41002310233132120
54244001402300
6303125312320
736532244562
oct10264573630
92803526473
101121122200
11525931780
122735656a0
1314b367b23
14a8c7a332
1568659550
hex42d2f798

1121122200 has 192 divisors, whose sum is σ = 3894750720. Its totient is φ = 264384000.

The previous prime is 1121122199. The next prime is 1121122201. The reversal of 1121122200 is 22211211.

1121122200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1121122199) and next prime (1121122201).

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 (1121122201) 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, 241905 + ... + 246495.

It is an arithmetic number, because the mean of its divisors is an integer number (20285160).

Almost surely, 21121122200 is an apocalyptic number.

1121122200 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 1121122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947375360).

1121122200 is an abundant number, since it is smaller than the sum of its proper divisors (2773628520).

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

1121122200 is a wasteful number, since it uses less digits than its factorization.

1121122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4649 counting only the distinct ones).

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

The square root of 1121122200 is about 33483.1629330325. The cubic root of 1121122200 is about 1038.8455508351.

Adding to 1121122200 its reverse (22211211), we get a palindrome (1143333411).

It can be divided in two parts, 11211 and 22200, that added together give a triangular number (33411 = T258).

The spelling of 1121122200 in words is "one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred".