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1201022131320 = 233451143783691
BaseRepresentation
bin10001011110100010011…
…111110101110001111000
311020211001022000202120000
4101132202133311301320
5124134143131200240
62315424132233000
7152525306450514
oct21364237656170
94224038022500
101201022131320
11423394756520
12174923a6b760
13893432a343b
14421b6197144
15213947de430
hex117a27f5c78

1201022131320 has 320 divisors, whose sum is σ = 4506166304640. Its totient is φ = 284385427200.

The previous prime is 1201022131319. The next prime is 1201022131327. The reversal of 1201022131320 is 231312201021.

1201022131320 is a `hidden beast` number, since 120 + 1 + 0 + 221 + 3 + 1 + 320 = 666.

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 = 1201022131293 and 1201022131302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201022131327) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1140675 + ... + 1924365.

It is an arithmetic number, because the mean of its divisors is an integer number (14081769702).

Almost surely, 21201022131320 is an apocalyptic number.

1201022131320 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 1201022131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253083152320).

1201022131320 is an abundant number, since it is smaller than the sum of its proper divisors (3305144173320).

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

1201022131320 is a wasteful number, since it uses less digits than its factorization.

1201022131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783768 (or 783755 counting only the distinct ones).

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

Adding to 1201022131320 its reverse (231312201021), we get a palindrome (1432334332341).

The spelling of 1201022131320 in words is "one trillion, two hundred one billion, twenty-two million, one hundred thirty-one thousand, three hundred twenty".