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12020212022000 = 2453713192326571
BaseRepresentation
bin1010111011101010110001…
…1101111011101011110000
31120120010021020120012112212
42232322230131323223300
53033414343234201000
641322001551511252
72350301026244240
oct256725435735360
946503236505485
1012020212022000
11391481a358116
121421720828528
13692668ca0810
142d7ad20d5b20
1515ca175bcc35
hexaeeac77baf0

12020212022000 has 960 divisors, whose sum is σ = 39369236874240. Its totient is φ = 3446758656000.

The previous prime is 12020212021901. The next prime is 12020212022009. The reversal of 12020212022000 is 22021202021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020212022009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1829278715 + ... + 1829285285.

It is an arithmetic number, because the mean of its divisors is an integer number (41009621744).

Almost surely, 212020212022000 is an apocalyptic number.

12020212022000 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 12020212022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684618437120).

12020212022000 is an abundant number, since it is smaller than the sum of its proper divisors (27349024852240).

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

12020212022000 is a wasteful number, since it uses less digits than its factorization.

12020212022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12020212022000 its reverse (22021202021), we get a palindrome (12042233224021).

The spelling of 12020212022000 in words is "twelve trillion, twenty billion, two hundred twelve million, twenty-two thousand".