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20220212121200 = 24527132112699787
BaseRepresentation
bin1001001100011111000101…
…00011111000111001110000
32122121000220100102022222122
410212033202203320321300
510122241443300334300
6111001012012053412
74154601464122640
oct446174243707160
978530810368878
1020220212121200
11649638666a033
122326990164268
13b389b0c1a030
144dc940880520
15250e929c6c85
hex1263e28f8e70

20220212121200 has 480 divisors, whose sum is σ = 60302455395840. Its totient is φ = 6344710041600.

The previous prime is 20220212121169. The next prime is 20220212121209. The reversal of 20220212121200 is 212121202202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220212121209) 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, 2066022707 + ... + 2066032493.

It is an arithmetic number, because the mean of its divisors is an integer number (125630115408).

Almost surely, 220220212121200 is an apocalyptic number.

20220212121200 is a gapful number since it is divisible by the number (20) 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 20220212121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30151227697920).

20220212121200 is an abundant number, since it is smaller than the sum of its proper divisors (40082243274640).

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

20220212121200 is a wasteful number, since it uses less digits than its factorization.

20220212121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10305 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20220212121200 its reverse (212121202202), we get a palindrome (20432333323402).

The spelling of 20220212121200 in words is "twenty trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".