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12112132332300 = 22352711133743101251
BaseRepresentation
bin1011000001000001001101…
…0110000101101100001100
31120212220112022211210011220
42300100103112011230030
53041421121334113200
641432123051043340
72360033634061140
oct260202326055414
946786468753156
1012112132332300
11394a7a9a36810
1214374b4740550
1369b2278b8080
142dc332067220
151600e731a4a0
hexb0413585b0c

12112132332300 has 2304 divisors, whose sum is σ = 50136727044096. Its totient is φ = 2177280000000.

The previous prime is 12112132332281. The next prime is 12112132332367. The reversal of 12112132332300 is 323323121121.

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 767 ways as a sum of consecutive naturals, for example, 48255507175 + ... + 48255507425.

It is an arithmetic number, because the mean of its divisors is an integer number (21760732224).

Almost surely, 212112132332300 is an apocalyptic number.

12112132332300 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 12112132332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25068363522048).

12112132332300 is an abundant number, since it is smaller than the sum of its proper divisors (38024594711796).

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

12112132332300 is a wasteful number, since it uses less digits than its factorization.

12112132332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12112132332300 its reverse (323323121121), we get a palindrome (12435455453421).

The spelling of 12112132332300 in words is "twelve trillion, one hundred twelve billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred".