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12212000101120 = 28518315210609
BaseRepresentation
bin1011000110110101001111…
…1011011001001100000000
31121020110022021200002100111
42301231103323121030000
53100040134011213440
641550040532001104
72400200514104041
oct261552373311400
947213267602314
1012212000101120
113989097766646
121452926160194
136a7781baa5c1
143030c77068c8
151629deb354ea
hexb1b53ed9300

12212000101120 has 72 divisors (see below), whose sum is σ = 29267537836320. Its totient is φ = 4882131271680.

The previous prime is 12212000101111. The next prime is 12212000101181. The reversal of 12212000101120 is 2110100021221.

It is a self number, because there is not a number n which added to its sum of digits gives 12212000101120.

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, 261625 + ... + 4948984.

It is an arithmetic number, because the mean of its divisors is an integer number (406493581060).

Almost surely, 212212000101120 is an apocalyptic number.

12212000101120 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 12212000101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633768918160).

12212000101120 is an abundant number, since it is smaller than the sum of its proper divisors (17055537735200).

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

12212000101120 is an equidigital number, since it uses as much as digits as its factorization.

12212000101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212461 (or 5212447 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12212000101120 its reverse (2110100021221), we get a palindrome (14322100122341).

The spelling of 12212000101120 in words is "twelve trillion, two hundred twelve billion, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1831 3662 7324 9155 14648 18310 29296 36620 58592 73240 117184 146480 234368 292960 468736 585920 1171840 2343680 5210609 10421218 20842436 26053045 41684872 52106090 83369744 104212180 166739488 208424360 333478976 416848720 666957952 833697440 1333915904 1667394880 3334789760 6669579520 9540625079 19081250158 38162500316 47703125395 76325000632 95406250790 152650001264 190812501580 305300002528 381625003160 610600005056 763250006320 1221200010112 1526500012640 2442400020224 3053000025280 6106000050560 12212000101120