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12101944320 = 21035571137
BaseRepresentation
bin10110100010101010…
…10000010000000000
31011020101221110200000
423101111100100000
5144241044204240
65320510400000
7605616554334
oct132125202000
934211843600
1012101944320
115150260984
122418b00000
1311ab3092cb
1482b3977c4
154ac6ab430
hex2d1550400

12101944320 has 528 divisors, whose sum is σ = 44420358528. Its totient is φ = 3158507520.

The previous prime is 12101944313. The next prime is 12101944321. The reversal of 12101944320 is 2344910121.

It is a happy number.

12101944320 is a `hidden beast` number, since 1 + 210 + 1 + 9 + 443 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12101944321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88335292 + ... + 88335428.

Almost surely, 212101944320 is an apocalyptic number.

12101944320 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 12101944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22210179264).

12101944320 is an abundant number, since it is smaller than the sum of its proper divisors (32318414208).

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

12101944320 is an equidigital number, since it uses as much as digits as its factorization.

12101944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12101944320 in words is "twelve billion, one hundred one million, nine hundred forty-four thousand, three hundred twenty".