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12232100021220 = 223254725154710531
BaseRepresentation
bin1011001000000000000111…
…1110100000001111100100
31121022101012002012211012200
42302000001332200033210
53100402320101134340
642003203231014500
72401511561441142
oct262000176401744
947271162184180
1012232100021220
113996671632062
1214567b566a430
136a963619b551
14304072d9c592
151632b953c330
hexb2001fa03e4

12232100021220 has 288 divisors, whose sum is σ = 38117624702976. Its totient is φ = 3173657760000.

The previous prime is 12232100021161. The next prime is 12232100021257. The reversal of 12232100021220 is 2212000123221.

12232100021220 is a `hidden beast` number, since 1 + 223 + 210 + 0 + 0 + 212 + 20 = 666.

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 = 12232100021193 and 12232100021202.

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 95 ways as a sum of consecutive naturals, for example, 1161527355 + ... + 1161537885.

It is an arithmetic number, because the mean of its divisors is an integer number (132352863552).

Almost surely, 212232100021220 is an apocalyptic number.

12232100021220 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 12232100021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058812351488).

12232100021220 is an abundant number, since it is smaller than the sum of its proper divisors (25885524681756).

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

12232100021220 is a wasteful number, since it uses less digits than its factorization.

12232100021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11391 (or 11386 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12232100021220 its reverse (2212000123221), we get a palindrome (14444100144441).

The spelling of 12232100021220 in words is "twelve trillion, two hundred thirty-two billion, one hundred million, twenty-one thousand, two hundred twenty".