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12020220021000 = 23353191375715329
BaseRepresentation
bin1010111011101010110011…
…1100011100100100001000
31120120010021210121121010010
42232322230330130210020
53033414402311133000
641322002435151520
72350301154241032
oct256725474344410
946503253547103
1012020220021000
113914823920964
1214217234455a0
1369266a841659
142d7ad31b8c52
1515ca1814cd50
hexaeeacf1c908

12020220021000 has 256 divisors, whose sum is σ = 39482378208000. Its totient is φ = 3036268339200.

The previous prime is 12020220020971. The next prime is 12020220021013. The reversal of 12020220021000 is 12002202021.

12020220021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784141336 + ... + 784156664.

It is an arithmetic number, because the mean of its divisors is an integer number (154228039875).

Almost surely, 212020220021000 is an apocalyptic number.

12020220021000 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 12020220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19741189104000).

12020220021000 is an abundant number, since it is smaller than the sum of its proper divisors (27462158187000).

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

12020220021000 is a wasteful number, since it uses less digits than its factorization.

12020220021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29129 (or 29115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12020220021000 its reverse (12002202021), we get a palindrome (12032222223021).

The spelling of 12020220021000 in words is "twelve trillion, twenty billion, two hundred twenty million, twenty-one thousand".