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2221000122112 = 28149234724809
BaseRepresentation
bin100000010100011101111…
…011000101111100000000
321212022210022120021022221
4200110131323011330000
5242342102012401422
64420151404340424
7316314311355622
oct40243573057400
97768708507287
102221000122112
11786a14738602
122ba540544714
1313159350bab5
14796d59d6c12
153cb8edc53c7
hex2051dec5f00

2221000122112 has 72 divisors (see below), whose sum is σ = 4465159902000. Its totient is φ = 1102532616192.

The previous prime is 2221000122091. The next prime is 2221000122139. The reversal of 2221000122112 is 2112210001222.

It is a happy number.

It is a super-2 number, since 2×22210001221122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89511564 + ... + 89536372.

It is an arithmetic number, because the mean of its divisors is an integer number (62016109750).

Almost surely, 22221000122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221000122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232579951000).

2221000122112 is an abundant number, since it is smaller than the sum of its proper divisors (2244159779888).

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

2221000122112 is a wasteful number, since it uses less digits than its factorization.

2221000122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27321 (or 27307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2221000122112 its reverse (2112210001222), we get a palindrome (4333210123334).

The spelling of 2221000122112 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 596 1192 2347 2384 4694 4768 9388 9536 18776 19072 24809 37552 38144 49618 75104 99236 150208 198472 300416 349703 396944 600832 699406 793888 1398812 1587776 2797624 3175552 3696541 5595248 6351104 7393082 11190496 14786164 22380992 29572328 44761984 58226723 59144656 89523968 116453446 118289312 232906892 236578624 465813784 473157248 931627568 946314496 1863255136 3726510272 7453020544 8675781727 14906041088 17351563454 34703126908 69406253816 138812507632 277625015264 555250030528 1110500061056 2221000122112