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12212220012000 = 253532711375391
BaseRepresentation
bin1011000110110110000100…
…0010010010010111100000
31121020110212121110201100220
42301231201002102113200
53100041111310341000
641550114425243040
72400206124236451
oct261554102222740
947213777421326
1012212220012000
11398919a908978
121452987933480
136a77b8616598
143031089cd128
15162a040c41a0
hexb1b610925e0

12212220012000 has 192 divisors, whose sum is σ = 40022096744448. Its totient is φ = 3255382080000.

The previous prime is 12212220011947. The next prime is 12212220012007. The reversal of 12212220012000 is 21002221221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212220012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32344305 + ... + 32719695.

It is an arithmetic number, because the mean of its divisors is an integer number (208448420544).

Almost surely, 212212220012000 is an apocalyptic number.

12212220012000 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 12212220012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20011048372224).

12212220012000 is an abundant number, since it is smaller than the sum of its proper divisors (27809876732448).

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

12212220012000 is a wasteful number, since it uses less digits than its factorization.

12212220012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378130 (or 378112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12212220012000 its reverse (21002221221), we get a palindrome (12233222233221).

The spelling of 12212220012000 in words is "twelve trillion, two hundred twelve billion, two hundred twenty million, twelve thousand".