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121111213032 = 23323137536213
BaseRepresentation
bin111000011001011001…
…0100111001111101000
3102120121110010002012200
41300302302213033220
53441013432304112
6131345425340200
711515151216355
oct1606262471750
9376543102180
10121111213032
11473aa1389a7
121b57ba97660
13b561492a84
145c0cb6362c
15323c803cdc
hex1c32ca73e8

121111213032 has 48 divisors (see below), whose sum is σ = 328114708740. Its totient is φ = 40357459968.

The previous prime is 121111212977. The next prime is 121111213033. The reversal of 121111213032 is 230312111121.

It can be written as a sum of positive squares in 2 ways, for example, as 108698133636 + 12413079396 = 329694^2 + 111414^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121111212996 and 121111213014.

It is not an unprimeable number, because it can be changed into a prime (121111213033) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42243 + ... + 493970.

Almost surely, 2121111213032 is an apocalyptic number.

121111213032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121111213032 is an abundant number, since it is smaller than the sum of its proper divisors (207003495708).

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

121111213032 is a wasteful number, since it uses less digits than its factorization.

121111213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539362 (or 539355 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121111213032 its reverse (230312111121), we get a palindrome (351423324153).

The spelling of 121111213032 in words is "one hundred twenty-one billion, one hundred eleven million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3137 6274 9411 12548 18822 25096 28233 37644 56466 75288 112932 225864 536213 1072426 1608639 2144852 3217278 4289704 4825917 6434556 9651834 12869112 19303668 38607336 1682100181 3364200362 5046300543 6728400724 10092601086 13456801448 15138901629 20185202172 30277803258 40370404344 60555606516 121111213032