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12212012120000 = 265471121961311
BaseRepresentation
bin1011000110110101010010…
…1001001111011111000000
31121020110100010021201011012
42301231110221033133000
53100040200100320000
641550042041340052
72400201021212360
oct261552451173700
947213303251135
1012212012120000
1139890a3525600
12145292a197628
136a7784528074
143030c91549a0
151629e0c0b735
hexb1b54a4f7c0

12212012120000 has 1680 divisors, whose sum is σ = 40829368419840. Its totient is φ = 3535488000000.

The previous prime is 12212012119997. The next prime is 12212012120059. The reversal of 12212012120000 is 2121021221.

12212012120000 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 (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39266919845 + ... + 39266920155.

It is an arithmetic number, because the mean of its divisors is an integer number (24303195488).

Almost surely, 212212012120000 is an apocalyptic number.

12212012120000 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 12212012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414684209920).

12212012120000 is an abundant number, since it is smaller than the sum of its proper divisors (28617356299840).

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

12212012120000 is a wasteful number, since it uses less digits than its factorization.

12212012120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 416 counting only the distinct ones).

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

Adding to 12212012120000 its reverse (2121021221), we get a palindrome (12214133141221).

The spelling of 12212012120000 in words is "twelve trillion, two hundred twelve billion, twelve million, one hundred twenty thousand".