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1312021121120 = 255711494011933
BaseRepresentation
bin10011000101111010100…
…011011000100001100000
311122102120000012200022022
4103011322203120201200
5132444004401333440
62442422330001012
7163535051343623
oct23057243304140
94572500180268
101312021121120
1146647479a436
12192341276168
1396952745768
1447705d03dba
15241de468cb5
hex1317a8d8860

1312021121120 has 192 divisors, whose sum is σ = 3173935363200. Its totient is φ = 512397312000.

The previous prime is 1312021121113. The next prime is 1312021121219. The reversal of 1312021121120 is 211211202131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 678747674 + ... + 678749606.

It is an arithmetic number, because the mean of its divisors is an integer number (16530913350).

Almost surely, 21312021121120 is an apocalyptic number.

1312021121120 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 1312021121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586967681600).

1312021121120 is an abundant number, since it is smaller than the sum of its proper divisors (1861914242080).

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

1312021121120 is a wasteful number, since it uses less digits than its factorization.

1312021121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1312021121120 its reverse (211211202131), we get a palindrome (1523232323251).

The spelling of 1312021121120 in words is "one trillion, three hundred twelve billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty".