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12012201201120 = 25352347179283457
BaseRepresentation
bin1010111011001100111011…
…1111000100110111100000
31120112100120221210100012020
42232303032333010313200
53033301442001413440
641314155024101440
72346565354345311
oct256631677046740
946470527710166
1012012201201120
11391138946989a
121420065a64880
1369199043c313
142d7572212608
1515c6e91863d0
hexaeccefc4de0

12012201201120 has 768 divisors, whose sum is σ = 40781255639040. Its totient is φ = 2964998209536.

The previous prime is 12012201201061. The next prime is 12012201201193. The reversal of 12012201201120 is 2110210221021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012201201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26284903932 + ... + 26284904388.

It is an arithmetic number, because the mean of its divisors is an integer number (53100593280).

Almost surely, 212012201201120 is an apocalyptic number.

12012201201120 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 12012201201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20390627819520).

12012201201120 is an abundant number, since it is smaller than the sum of its proper divisors (28769054437920).

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

12012201201120 is a wasteful number, since it uses less digits than its factorization.

12012201201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12012201201120 its reverse (2110210221021), we get a palindrome (14122411422141).

The spelling of 12012201201120 in words is "twelve trillion, twelve billion, two hundred one million, two hundred one thousand, one hundred twenty".