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12132231322200 = 2335211101105117317
BaseRepresentation
bin1011000010001100000101…
…0101101001101001011000
31120221211102001122021001020
42300203001111221221120
53042233302204302300
641445245314122440
72361345000502263
oct260430125515130
946854361567036
1012132231322200
113958283327370
12143b383880420
136a00ab9417c2
142dd2bb559cda
151608c1adb8a0
hexb08c1569a58

12132231322200 has 384 divisors, whose sum is σ = 41477047799040. Its totient is φ = 2909088000000.

The previous prime is 12132231322193. The next prime is 12132231322229. The reversal of 12132231322200 is 222313223121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 700587942 + ... + 700605258.

It is an arithmetic number, because the mean of its divisors is an integer number (108013145310).

Almost surely, 212132231322200 is an apocalyptic number.

12132231322200 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 12132231322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738523899520).

12132231322200 is an abundant number, since it is smaller than the sum of its proper divisors (29344816476840).

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

12132231322200 is a wasteful number, since it uses less digits than its factorization.

12132231322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18499 (or 18490 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12132231322200 its reverse (222313223121), we get a palindrome (12354544545321).

The spelling of 12132231322200 in words is "twelve trillion, one hundred thirty-two billion, two hundred thirty-one million, three hundred twenty-two thousand, two hundred".