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13212147542000 = 2453113101157313
BaseRepresentation
bin1100000001000011000101…
…0111000110011111110000
31201210001212021112021200212
43000100301113012133300
53212431434232321000
644033324330403252
72532355222063631
oct300206127063760
951701767467625
1013212147542000
114234270936000
121594729590528
1374ab9188a264
1433968556d888
1517da292c2c35
hexc04315c67f0

13212147542000 has 640 divisors, whose sum is σ = 35827316119296. Its totient is φ = 4711449600000.

The previous prime is 13212147541981. The next prime is 13212147542003. The reversal of 13212147542000 is 24574121231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212147542003) 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 127 ways as a sum of consecutive naturals, for example, 42211333844 + ... + 42211334156.

Almost surely, 213212147542000 is an apocalyptic number.

13212147542000 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 13212147542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913658059648).

13212147542000 is an abundant number, since it is smaller than the sum of its proper divisors (22615168577296).

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

13212147542000 is a wasteful number, since it uses less digits than its factorization.

13212147542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 13212147542000 in words is "thirteen trillion, two hundred twelve billion, one hundred forty-seven million, five hundred forty-two thousand".