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12211200012120 = 23351937223916369
BaseRepresentation
bin1011000110110010010000…
…1111010010111101011000
31121020101020112011100120120
42301230210033102331120
53100032014200341440
641545425311153240
72400141630340044
oct261544417227530
947211215140516
1012211200012120
11398881707496a
121452742215820
136a76851c6065
1430304d357024
15162994791dd0
hexb1b243d2f58

12211200012120 has 384 divisors, whose sum is σ = 39800315520000. Its totient is φ = 2988816703488.

The previous prime is 12211200012103. The next prime is 12211200012131. The reversal of 12211200012120 is 2121000211221.

12211200012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122112000121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211200012120.

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, 745987296 + ... + 746003664.

It is an arithmetic number, because the mean of its divisors is an integer number (103646655000).

Almost surely, 212211200012120 is an apocalyptic number.

12211200012120 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 12211200012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19900157760000).

12211200012120 is an abundant number, since it is smaller than the sum of its proper divisors (27589115507880).

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

12211200012120 is a wasteful number, since it uses less digits than its factorization.

12211200012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16715 (or 16674 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211200012120 its reverse (2121000211221), we get a palindrome (14332200223341).

The spelling of 12211200012120 in words is "twelve trillion, two hundred eleven billion, two hundred million, twelve thousand, one hundred twenty".