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1332120333132 = 223317725555737
BaseRepresentation
bin10011011000101000100…
…011110010101101001100
311201100102202102102212000
4103120220203302231030
5133311140301130012
62455545001512300
7165146120001441
oct23305043625514
94640382372760
101332120333132
11473a49221956
121962104a2690
1398806849314
14486914539c8
15249b8c80ddc
hex136288f2b4c

1332120333132 has 48 divisors (see below), whose sum is σ = 3656800919520. Its totient is φ = 417920103936.

The previous prime is 1332120333127. The next prime is 1332120333161. The reversal of 1332120333132 is 2313330212331.

1332120333132 is a `hidden beast` number, since 1 + 3 + 321 + 2 + 0 + 3 + 331 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332120333096 and 1332120333105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362776033 + ... + 362779704.

It is an arithmetic number, because the mean of its divisors is an integer number (76183352490).

Almost surely, 21332120333132 is an apocalyptic number.

1332120333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1332120333132 is an abundant number, since it is smaller than the sum of its proper divisors (2324680586388).

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

1332120333132 is a wasteful number, since it uses less digits than its factorization.

1332120333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725555767 (or 725555759 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1332120333132 its reverse (2313330212331), we get a palindrome (3645450545463).

The spelling of 1332120333132 in words is "one trillion, three hundred thirty-two billion, one hundred twenty million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 725555737 1451111474 2176667211 2902222948 4353334422 6530001633 8706668844 12334447529 13060003266 19590004899 24668895058 26120006532 37003342587 39180009798 49337790116 74006685174 78360019596 111010027761 148013370348 222020055522 333030083283 444040111044 666060166566 1332120333132