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1211210001200 = 2452192310367273
BaseRepresentation
bin10001101000000001101…
…111011110101100110000
311021210100022022011201002
4101220001233132230300
5124321024230014300
62324231105501132
7153335625066203
oct21500157365460
94253308264632
101211210001200
114277425189a1
121768a79417a8
138a2a7b8b904
14428a126193a
152178de0c5d5
hex11a01bdeb30

1211210001200 has 240 divisors, whose sum is σ = 3227343674880. Its totient is φ = 434760099840.

The previous prime is 1211210001107. The next prime is 1211210001251. The reversal of 1211210001200 is 21000121121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17970764 + ... + 18038036.

It is an arithmetic number, because the mean of its divisors is an integer number (13447265312).

Almost surely, 21211210001200 is an apocalyptic number.

1211210001200 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 1211210001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613671837440).

1211210001200 is an abundant number, since it is smaller than the sum of its proper divisors (2016133673680).

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

1211210001200 is a wasteful number, since it uses less digits than its factorization.

1211210001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67436 (or 67425 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1211210001200 its reverse (21000121121), we get a palindrome (1232210122321).

The spelling of 1211210001200 in words is "one trillion, two hundred eleven billion, two hundred ten million, one thousand, two hundred".