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1121214200 = 235231193937
BaseRepresentation
bin100001011010100…
…0101111011111000
32220010202120201212
41002311011323320
54244012323300
6303131302252
736533110031
oct10265057370
92803676655
101121214200
11525994907
122735aa988
1314b39a972
14a8ca1a88
1568676935
hex42d45ef8

1121214200 has 96 divisors (see below), whose sum is σ = 2707743360. Its totient is φ = 431308800.

The previous prime is 1121214191. The next prime is 1121214203. The reversal of 1121214200 is 24121211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121214203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196132 + ... + 1197068.

It is an arithmetic number, because the mean of its divisors is an integer number (28205660).

Almost surely, 21121214200 is an apocalyptic number.

1121214200 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 1121214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353871680).

1121214200 is an abundant number, since it is smaller than the sum of its proper divisors (1586529160).

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

1121214200 is a wasteful number, since it uses less digits than its factorization.

1121214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1121214200 is about 33484.5367296608. The cubic root of 1121214200 is about 1038.8739661665.

Adding to 1121214200 its reverse (24121211), we get a palindrome (1145335411).

The spelling of 1121214200 in words is "one billion, one hundred twenty-one million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 193 200 248 310 386 620 772 775 937 965 1240 1544 1550 1874 1930 3100 3748 3860 4685 4825 5983 6200 7496 7720 9370 9650 11966 18740 19300 23425 23932 29047 29915 37480 38600 46850 47864 58094 59830 93700 116188 119660 145235 149575 180841 187400 232376 239320 290470 299150 361682 580940 598300 723364 726175 904205 1161880 1196600 1446728 1452350 1808410 2904700 3616820 4521025 5606071 5809400 7233640 9042050 11212142 18084100 22424284 28030355 36168200 44848568 56060710 112121420 140151775 224242840 280303550 560607100 1121214200