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12120122021000 = 23537219231135009
BaseRepresentation
bin1011000001011110111110…
…0100010101010010001000
31120220200011010212000122012
42300113233210111102020
53042034002214133000
641435523541515052
72360435631234200
oct260275744252210
946820133760565
1012120122021000
113953129a01124
121438b64412a88
1369bbcbc5aa16
142dc88d209400
1516041397a735
hexb05ef915488

12120122021000 has 768 divisors, whose sum is σ = 36565753536000. Its totient is φ = 3731528908800.

The previous prime is 12120122020969. The next prime is 12120122021011. The reversal of 12120122021000 is 12022102121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2419666496 + ... + 2419671504.

It is an arithmetic number, because the mean of its divisors is an integer number (47611658250).

Almost surely, 212120122021000 is an apocalyptic number.

12120122021000 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 12120122021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18282876768000).

12120122021000 is an abundant number, since it is smaller than the sum of its proper divisors (24445631515000).

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

12120122021000 is a wasteful number, since it uses less digits than its factorization.

12120122021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12120122021000 its reverse (12022102121), we get a palindrome (12132144123121).

The spelling of 12120122021000 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, twenty-one thousand".