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1327214001120 = 253571920789693
BaseRepresentation
bin10011010100000100000…
…111100111101111100000
311200212202211021221121120
4103110010013213233200
5133221113241013440
62453414054052240
7164613412604460
oct23240407475740
94625684257546
101327214001120
11471960781007
1219528134a080
1398204225097
14483479b5ba0
15247cd17cdd0
hex135041e7be0

1327214001120 has 192 divisors, whose sum is σ = 5029442772480. Its totient is φ = 287396702208.

The previous prime is 1327214001107. The next prime is 1327214001137. The reversal of 1327214001120 is 211004127231.

It is a super-2 number, since 2×13272140011202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10331007 + ... + 10458686.

It is an arithmetic number, because the mean of its divisors is an integer number (26195014440).

Almost surely, 21327214001120 is an apocalyptic number.

1327214001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327214001120 is an abundant number, since it is smaller than the sum of its proper divisors (3702228771360).

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

1327214001120 is a wasteful number, since it uses less digits than its factorization.

1327214001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20789737 (or 20789729 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 1327214001120 its reverse (211004127231), we get a palindrome (1538218128351).

The spelling of 1327214001120 in words is "one trillion, three hundred twenty-seven billion, two hundred fourteen million, one thousand, one hundred twenty".