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1322030121120 = 25345163625819
BaseRepresentation
bin10011001111001111001…
…000101100000010100000
311200101101112220120010000
4103033033020230002200
5133130004202333440
62451155433340000
7164341065421632
oct23171710540240
94611345816100
101322030121120
1146a7405a1265
12194275267600
1397889264577
1447db532aa52
15245c8003730
hex133cf22c0a0

1322030121120 has 240 divisors, whose sum is σ = 4694295846240. Its totient is φ = 350377975296.

The previous prime is 1322030121073. The next prime is 1322030121131. The reversal of 1322030121120 is 211210302231.

1322030121120 is a `hidden beast` number, since 1 + 3 + 220 + 301 + 21 + 120 = 666.

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

It is a super-2 number, since 2×13220301211202 (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 = 1322030121093 and 1322030121102.

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 39 ways as a sum of consecutive naturals, for example, 1799571 + ... + 2425389.

It is an arithmetic number, because the mean of its divisors is an integer number (19559566026).

Almost surely, 21322030121120 is an apocalyptic number.

1322030121120 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 1322030121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347147923120).

1322030121120 is an abundant number, since it is smaller than the sum of its proper divisors (3372265725120).

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

1322030121120 is a wasteful number, since it uses less digits than its factorization.

1322030121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626009 (or 625992 counting only the distinct ones).

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

Adding to 1322030121120 its reverse (211210302231), we get a palindrome (1533240423351).

The spelling of 1322030121120 in words is "one trillion, three hundred twenty-two billion, thirty million, one hundred twenty-one thousand, one hundred twenty".