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1212022201000 = 235313229247301
BaseRepresentation
bin10001101000110010001…
…001110001101010101000
311021212102220121012101011
4101220302021301222220
5124324210140413000
62324443442033304
7153365016503512
oct21506211615250
94255386535334
101212022201000
11428019a316a6
12176a93948834
138a3a7223700
144293b084bb2
15217da3942ba
hex11a32271aa8

1212022201000 has 192 divisors, whose sum is σ = 3176989873200. Its totient is φ = 432082560000.

The previous prime is 1212022200947. The next prime is 1212022201003. The reversal of 1212022201000 is 1022202121.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1031691181284 + 180331019716 = 1015722^2 + 424654^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1212022201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4777350 + ... + 5024650.

Almost surely, 21212022201000 is an apocalyptic number.

1212022201000 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 1212022201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588494936600).

1212022201000 is an abundant number, since it is smaller than the sum of its proper divisors (1964967672200).

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

1212022201000 is a wasteful number, since it uses less digits than its factorization.

1212022201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247377 (or 247350 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1212022201000 its reverse (1022202121), we get a palindrome (1213044403121).

The spelling of 1212022201000 in words is "one trillion, two hundred twelve billion, twenty-two million, two hundred one thousand".