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1321203120000 = 2735413142023
BaseRepresentation
bin10011001110011101110…
…101111011011110000000
311200022020220202112211220
4103032131311323132000
5133121310444320000
62450541412035040
7164311434136641
oct23163565733600
94608226675756
101321203120000
1146a356799065
12194084302a80
1397786b196aa
1447d375736c8
152457a5e61a0
hex1339dd7b780

1321203120000 has 320 divisors, whose sum is σ = 4418984972160. Its totient is φ = 349623040000.

The previous prime is 1321203119989. The next prime is 1321203120067. The reversal of 1321203120000 is 213021231.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31418989 + ... + 31461011.

It is an arithmetic number, because the mean of its divisors is an integer number (13809328038).

Almost surely, 21321203120000 is an apocalyptic number.

1321203120000 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 1321203120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209492486080).

1321203120000 is an abundant number, since it is smaller than the sum of its proper divisors (3097781852160).

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

1321203120000 is an equidigital number, since it uses as much as digits as its factorization.

1321203120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42191 (or 42164 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1321203120000 its reverse (213021231), we get a palindrome (1321416141231).

The spelling of 1321203120000 in words is "one trillion, three hundred twenty-one billion, two hundred three million, one hundred twenty thousand".