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12001120121100 = 223521147531459937
BaseRepresentation
bin1010111010100011101010…
…0000000111000100001100
31120111021222200210011002010
42232220322200013010030
53033111243222333400
641305123302101220
72346023641620465
oct256507240070414
946437880704063
1012001120121100
113907712492420
121419a92a1a810
13690915796b36
142d6c00677d6c
1515c29b42d450
hexaea3a80710c

12001120121100 has 288 divisors, whose sum is σ = 39415803227136. Its totient is φ = 2793733529600.

The previous prime is 12001120121099. The next prime is 12001120121101. The reversal of 12001120121100 is 112102110021.

It is an interprime number because it is at equal distance from previous prime (12001120121099) and next prime (12001120121101).

It is a super-2 number, since 2×120011201211002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12001120121101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7490332 + ... + 8950268.

It is an arithmetic number, because the mean of its divisors is an integer number (136860427872).

Almost surely, 212001120121100 is an apocalyptic number.

12001120121100 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 12001120121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707901613568).

12001120121100 is an abundant number, since it is smaller than the sum of its proper divisors (27414683106036).

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

12001120121100 is a wasteful number, since it uses less digits than its factorization.

12001120121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460065 (or 1460058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001120121100 its reverse (112102110021), we get a palindrome (12113222231121).

The spelling of 12001120121100 in words is "twelve trillion, one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".