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12101221021120 = 265711544190263
BaseRepresentation
bin1011000000011000100011…
…1110101111010111000000
31120211212100220021202010121
42300012020332233113000
53041231300040133440
641423120231510024
72356166352340240
oct260061076572700
946755326252117
1012101221021120
11394610a874170
12143536a528314
1369a1a917391a
142db9b8c81b20
1515eba944934a
hexb0188faf5c0

12101221021120 has 224 divisors, whose sum is σ = 35933483160576. Its totient is φ = 3771074150400.

The previous prime is 12101221021049. The next prime is 12101221021133. The reversal of 12101221021120 is 2112012210121.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 12101221021094 and 12101221021103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134021109 + ... + 134111371.

Almost surely, 212101221021120 is an apocalyptic number.

12101221021120 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 12101221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17966741580288).

12101221021120 is an abundant number, since it is smaller than the sum of its proper divisors (23832262139456).

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

12101221021120 is a wasteful number, since it uses less digits than its factorization.

12101221021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95739 (or 95729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12101221021120 its reverse (2112012210121), we get a palindrome (14213233231241).

The spelling of 12101221021120 in words is "twelve trillion, one hundred one billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".