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12212532420 = 223511217531867
BaseRepresentation
bin10110101111110110…
…00111010011000100
31011112010000221000120
423113323013103010
5200002402014140
65335500541540
7611431545534
oct132773072304
934463027016
1012212532420
1151a7724400
122449b518b0
1311c81b925a
1483bd434c4
154b72531d0
hex2d7ec74c4

12212532420 has 288 divisors, whose sum is σ = 40569911424. Its totient is φ = 2732421120.

The previous prime is 12212532413. The next prime is 12212532421. The reversal of 12212532420 is 2423521221.

It is not an unprimeable number, because it can be changed into a prime (12212532421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6540327 + ... + 6542193.

It is an arithmetic number, because the mean of its divisors is an integer number (140867748).

Almost surely, 212212532420 is an apocalyptic number.

12212532420 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 12212532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284955712).

12212532420 is an abundant number, since it is smaller than the sum of its proper divisors (28357379004).

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

12212532420 is a wasteful number, since it uses less digits than its factorization.

12212532420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 12212532420 in words is "twelve billion, two hundred twelve million, five hundred thirty-two thousand, four hundred twenty".