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1321213020120 = 233357435740111
BaseRepresentation
bin10011001110011110011…
…011101100011111011000
311200022021121101112021000
4103032132123230133120
5133121321013120440
62450542404145000
7164311614242160
oct23163633543730
94608247345230
101321213020120
1146a361340184
12194087698160
1397788ba4956
1447d389cd5a0
152457b3ee730
hex1339e6ec7d8

1321213020120 has 256 divisors, whose sum is σ = 5034473164800. Its totient is φ = 301914708480.

The previous prime is 1321213020107. The next prime is 1321213020151. The reversal of 1321213020120 is 210203121231.

1321213020120 is a `hidden beast` number, since 1 + 321 + 21 + 302 + 0 + 1 + 20 = 666.

It is a super-2 number, since 2×13212130201202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1321213020093 and 1321213020102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32918865 + ... + 32958975.

It is an arithmetic number, because the mean of its divisors is an integer number (19665910800).

Almost surely, 21321213020120 is an apocalyptic number.

1321213020120 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 1321213020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517236582400).

1321213020120 is an abundant number, since it is smaller than the sum of its proper divisors (3713260144680).

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

1321213020120 is a wasteful number, since it uses less digits than its factorization.

1321213020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44495 (or 44485 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1321213020120 its reverse (210203121231), we get a palindrome (1531416141351).

The spelling of 1321213020120 in words is "one trillion, three hundred twenty-one billion, two hundred thirteen million, twenty thousand, one hundred twenty".