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1001220001200 = 2432522319362653
BaseRepresentation
bin11101001000111010101…
…11001100110110110000
310112201022202001220111200
432210131113030312300
5112400444310014300
62043542031211200
7132223110406566
oct16443527146660
93481282056450
101001220001200
11356684652951
12142062676b00
1373550c73b43
14366604a1a36
151b09d903200
hexe91d5ccdb0

1001220001200 has 360 divisors, whose sum is σ = 3644420780832. Its totient is φ = 254056366080.

The previous prime is 1001220001181. The next prime is 1001220001217. The reversal of 1001220001200 is 21000221001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15949074 + ... + 16011726.

Almost surely, 21001220001200 is an apocalyptic number.

1001220001200 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 1001220001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822210390416).

1001220001200 is an abundant number, since it is smaller than the sum of its proper divisors (2643200779632).

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

1001220001200 is a wasteful number, since it uses less digits than its factorization.

1001220001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62893 (or 62879 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001220001200 its reverse (21000221001), we get a palindrome (1022220222201).

The spelling of 1001220001200 in words is "one trillion, one billion, two hundred twenty million, one thousand, two hundred".