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12220111200000 = 28355111014583
BaseRepresentation
bin1011000111010011011101…
…1000110001111100000000
31121021020020120010121021010
42301310313120301330000
53100203241431400000
641553501441000520
72400605514233454
oct261646730617400
947236216117233
1012220111200000
11399157a216250
12145440a623140
136a847544bcb2
14303656a50664
15162d16c78d50
hexb1d37631f00

12220111200000 has 864 divisors, whose sum is σ = 44795991873024. Its totient is φ = 2932480000000.

The previous prime is 12220111199977. The next prime is 12220111200023. The reversal of 12220111200000 is 211102221.

It is an interprime number because it is at equal distance from previous prime (12220111199977) and next prime (12220111200023).

It is a super-2 number, since 2×122201112000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2666397709 + ... + 2666402291.

It is an arithmetic number, because the mean of its divisors is an integer number (51847212816).

Almost surely, 212220111200000 is an apocalyptic number.

12220111200000 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 12220111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22397995936512).

12220111200000 is an abundant number, since it is smaller than the sum of its proper divisors (32575880673024).

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

12220111200000 is an equidigital number, since it uses as much as digits as its factorization.

12220111200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220111200000 its reverse (211102221), we get a palindrome (12220322302221).

The spelling of 12220111200000 in words is "twelve trillion, two hundred twenty billion, one hundred eleven million, two hundred thousand".