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1121010120 = 233253113917
BaseRepresentation
bin100001011010001…
…0100000111001000
32220010101012210100
41002310110013020
54243434310440
6303123045400
736531300036
oct10264240710
92803335710
101121010120
1152586554a
12273510860
1314b328ac9
14a8c4b556
1568636230
hex42d141c8

1121010120 has 48 divisors (see below), whose sum is σ = 3643284060. Its totient is φ = 298935936.

The previous prime is 1121010103. The next prime is 1121010139. The reversal of 1121010120 is 210101211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 915546564 + 205463556 = 30258^2 + 14334^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1556599 + ... + 1557318.

Almost surely, 21121010120 is an apocalyptic number.

1121010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121010120 is an abundant number, since it is smaller than the sum of its proper divisors (2522273940).

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

1121010120 is a wasteful number, since it uses less digits than its factorization.

1121010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113934 (or 3113927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1121010120 is about 33481.4892141912. The cubic root of 1121010120 is about 1038.8109314482.

Adding to 1121010120 its reverse (210101211), we get a palindrome (1331111331).

It can be divided in two parts, 1 and 121010120, that added together give a palindrome (121010121).

The spelling of 1121010120 in words is "one billion, one hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3113917 6227834 9341751 12455668 15569585 18683502 24911336 28025253 31139170 37367004 46708755 56050506 62278340 74734008 93417510 112101012 124556680 140126265 186835020 224202024 280252530 373670040 560505060 1121010120