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12100101220000 = 255417412713203
BaseRepresentation
bin1011000000010100011000…
…1111000010011010100000
31120211202110212011221210001
42300011012033002122200
53041222001403020000
641422413150345344
72356126534234033
oct260050617023240
946752425157701
1012100101220000
113945695764aa2
1214350b74bb254
1369a05b17c201
142db91026b01a
1515eb40ea146a
hexb01463c26a0

12100101220000 has 480 divisors, whose sum is σ = 32417146992384. Its totient is φ = 4426444800000.

The previous prime is 12100101219961. The next prime is 12100101220001. The reversal of 12100101220000 is 2210100121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12100101220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3777738399 + ... + 3777741601.

Almost surely, 212100101220000 is an apocalyptic number.

12100101220000 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 12100101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208573496192).

12100101220000 is an abundant number, since it is smaller than the sum of its proper divisors (20317045772384).

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

12100101220000 is a wasteful number, since it uses less digits than its factorization.

12100101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100101220000 its reverse (2210100121), we get a palindrome (12102311320121).

The spelling of 12100101220000 in words is "twelve trillion, one hundred billion, one hundred one million, two hundred twenty thousand".