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1202320023120 = 2432537449100517
BaseRepresentation
bin10001011111101111110…
…110111001111001010000
311020221101202020111101200
4101133233312321321100
5124144322411214440
62320201014431200
7152602416400566
oct21375766717120
94227352214350
101202320023120
114239a0343877
12175026662500
13894bc150958
144229a6c9a36
152141d714c30
hex117efdb9e50

1202320023120 has 240 divisors, whose sum is σ = 4156198160400. Its totient is φ = 311255433216.

The previous prime is 1202320023071. The next prime is 1202320023137. The reversal of 1202320023120 is 213200232021.

1202320023120 is a `hidden beast` number, since 1 + 202 + 320 + 0 + 23 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12449203776 + 1189870819344 = 111576^2 + 1090812^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1202320023093 and 1202320023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11911102 + ... + 12011618.

It is an arithmetic number, because the mean of its divisors is an integer number (17317492335).

Almost surely, 21202320023120 is an apocalyptic number.

1202320023120 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 1202320023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078099080200).

1202320023120 is an abundant number, since it is smaller than the sum of its proper divisors (2953878137280).

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

1202320023120 is a wasteful number, since it uses less digits than its factorization.

1202320023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101022 (or 101013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1202320023120 its reverse (213200232021), we get a palindrome (1415520255141).

The spelling of 1202320023120 in words is "one trillion, two hundred two billion, three hundred twenty million, twenty-three thousand, one hundred twenty".