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1132204450120 = 235231489826499
BaseRepresentation
bin10000011110011100101…
…001001110000101001000
311000020102021102100011121
4100132130221032011020
5122022223314400440
62224043314405024
7144541040015452
oct20363451160510
94006367370147
101132204450120
113a718a994027
12163518b90774
13829c6a9c413
143cb285cb2d2
151e6b7dc534a
hex1079ca4e148

1132204450120 has 64 divisors (see below), whose sum is σ = 2660007600000. Its totient is φ = 432899816448.

The previous prime is 1132204450049. The next prime is 1132204450147. The reversal of 1132204450120 is 210544022311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956631 + ... + 1783129.

It is an arithmetic number, because the mean of its divisors is an integer number (41562618750).

Almost surely, 21132204450120 is an apocalyptic number.

1132204450120 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 1132204450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330003800000).

1132204450120 is an abundant number, since it is smaller than the sum of its proper divisors (1527803149880).

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

1132204450120 is a wasteful number, since it uses less digits than its factorization.

1132204450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828022 (or 828018 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1132204450120 its reverse (210544022311), we get a palindrome (1342748472431).

The spelling of 1132204450120 in words is "one trillion, one hundred thirty-two billion, two hundred four million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1489 2978 5956 7445 11912 14890 29780 34247 59560 68494 136988 171235 273976 342470 684940 826499 1369880 1652998 3305996 4132495 6611992 8264990 16529980 19009477 33059960 38018954 76037908 95047385 152075816 190094770 380189540 760379080 1230657011 2461314022 4922628044 6153285055 9845256088 12306570110 24613140220 28305111253 49226280440 56610222506 113220445012 141525556265 226440890024 283051112530 566102225060 1132204450120