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12197191680 = 21333541269
BaseRepresentation
bin10110101110000001…
…00110000000000000
31011111001011112111000
423113000212000000
5144434440113210
65334152052000
7611154263412
oct132700460000
934431145430
1012197191680
115199aa6703
122444994000
1311c4c777ab
14839cac9b2
154b5c22ac0
hex2d7026000

12197191680 has 448 divisors, whose sum is σ = 44587972800. Its totient is φ = 3161456640.

The previous prime is 12197191667. The next prime is 12197191687. The reversal of 12197191680 is 8619179121.

It is a happy number.

It is a super-2 number, since 2×121971916802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12197191687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45342586 + ... + 45342854.

It is an arithmetic number, because the mean of its divisors is an integer number (99526725).

Almost surely, 212197191680 is an apocalyptic number.

12197191680 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 12197191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293986400).

12197191680 is an abundant number, since it is smaller than the sum of its proper divisors (32390781120).

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

12197191680 is an equidigital number, since it uses as much as digits as its factorization.

12197191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 12197191680 in words is "twelve billion, one hundred ninety-seven million, one hundred ninety-one thousand, six hundred eighty".