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12207800640 = 2635717106861
BaseRepresentation
bin10110101111010010…
…00100000101000000
31011111210010112020110
423113221010011000
5200000144110030
65335211311320
7611343410340
oct132751040500
934453115213
1012207800640
1151a4a92342
12244844b540
1311c7220599
1483b470d20
154b6b1b1b0
hex2d7a44140

12207800640 has 224 divisors, whose sum is σ = 46903014144. Its totient is φ = 2626191360.

The previous prime is 12207800603. The next prime is 12207800641. The reversal of 12207800640 is 4600870221.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 12207800598 and 12207800607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12207800641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60810 + ... + 167670.

It is an arithmetic number, because the mean of its divisors is an integer number (209388456).

Almost surely, 212207800640 is an apocalyptic number.

12207800640 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 12207800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451507072).

12207800640 is an abundant number, since it is smaller than the sum of its proper divisors (34695213504).

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

12207800640 is a wasteful number, since it uses less digits than its factorization.

12207800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106905 (or 106895 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 12207800640 in words is "twelve billion, two hundred seven million, eight hundred thousand, six hundred forty".