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12101223120 = 24357193671033
BaseRepresentation
bin10110100010100101…
…00000001011010000
31011020100120211100220
423101102200023100
5144240403114440
65320443113040
7605610461610
oct132122401320
934210524326
1012101223120
11514a909048
122418812780
1311ab115c6c
1482b24aa40
154ac5b78d0
hex2d14a02d0

12101223120 has 320 divisors, whose sum is σ = 45296148480. Its totient is φ = 2610745344.

The previous prime is 12101223097. The next prime is 12101223133. The reversal of 12101223120 is 2132210121.

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 12101223120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11714124 + ... + 11715156.

It is an arithmetic number, because the mean of its divisors is an integer number (141550464).

Almost surely, 212101223120 is an apocalyptic number.

12101223120 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 12101223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22648074240).

12101223120 is an abundant number, since it is smaller than the sum of its proper divisors (33194925360).

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

12101223120 is a wasteful number, since it uses less digits than its factorization.

12101223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12101223120 its reverse (2132210121), we get a palindrome (14233433241).

The spelling of 12101223120 in words is "twelve billion, one hundred one million, two hundred twenty-three thousand, one hundred twenty".