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1202110020000 = 25325437180497
BaseRepresentation
bin10001011111100011010…
…101110011100110100000
311020220212010002020021100
4101133203111303212200
5124143410131120000
62320124113354400
7152564256401601
oct21374325634640
94226763066240
101202110020000
114238a284937a
12174b88268a00
13894877a3556
144227a861da8
152140a081a00
hex117e35739a0

1202110020000 has 360 divisors, whose sum is σ = 4387235288436. Its totient is φ = 311897088000.

The previous prime is 1202110019977. The next prime is 1202110020019. The reversal of 1202110020000 is 200112021.

It can be written as a sum of positive squares in 10 ways, for example, as 56687800464 + 1145422219536 = 238092^2 + 1070244^2 .

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 59 ways as a sum of consecutive naturals, for example, 6569752 + ... + 6750248.

Almost surely, 21202110020000 is an apocalyptic number.

1202110020000 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 1202110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193617644218).

1202110020000 is an abundant number, since it is smaller than the sum of its proper divisors (3185125268436).

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

1202110020000 is a wasteful number, since it uses less digits than its factorization.

1202110020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180570 (or 180544 counting only the distinct ones).

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

Adding to 1202110020000 its reverse (200112021), we get a palindrome (1202310132021).

The spelling of 1202110020000 in words is "one trillion, two hundred two billion, one hundred ten million, twenty thousand".