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12021312021300 = 223252192371019901
BaseRepresentation
bin1010111011101110111000…
…0010000110001100110100
31120120020002220101221220200
42232323232002012030310
53033424121334140200
641322303044400500
72350340214135261
oct256735602061464
946506086357820
1012021312021300
11391523427194a
1214219890a6130
136927b2b5108a
142d7b98234268
1515ca7de53800
hexaeeee086334

12021312021300 has 648 divisors, whose sum is σ = 41251025749752. Its totient is φ = 2925331200000.

The previous prime is 12021312021289. The next prime is 12021312021317. The reversal of 12021312021300 is 312021312021.

12021312021300 is a `hidden beast` number, since 1 + 202 + 131 + 202 + 130 + 0 = 666.

12021312021300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 905462627364 + 11115849393936 = 951558^2 + 3334044^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1214146350 + ... + 1214156250.

Almost surely, 212021312021300 is an apocalyptic number.

12021312021300 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 12021312021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20625512874876).

12021312021300 is an abundant number, since it is smaller than the sum of its proper divisors (29229713728452).

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

12021312021300 is a wasteful number, since it uses less digits than its factorization.

12021312021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12021312021300 its reverse (312021312021), we get a palindrome (12333333333321).

It can be divided in two parts, 120213 and 12021300, that multiplied together give a square (1445116536900 = 12021302).

The spelling of 12021312021300 in words is "twelve trillion, twenty-one billion, three hundred twelve million, twenty-one thousand, three hundred".