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1297122120 = 2333572127193
BaseRepresentation
bin100110101010000…
…1000001101001000
310100101202122001000
41031110020031020
510124030401440
6332413455000
744100233100
oct11524101510
93311678030
101297122120
11606212058
123024a1460
1317896b0a8
14c43b2200
1578d22730
hex4d508348

1297122120 has 384 divisors, whose sum is σ = 5095526400. Its totient is φ = 292626432.

The previous prime is 1297122103. The next prime is 1297122131. The reversal of 1297122120 is 212217921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6720744 + ... + 6720936.

It is an arithmetic number, because the mean of its divisors is an integer number (13269600).

Almost surely, 21297122120 is an apocalyptic number.

1297122120 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 1297122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547763200).

1297122120 is an abundant number, since it is smaller than the sum of its proper divisors (3798404280).

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

1297122120 is a wasteful number, since it uses less digits than its factorization.

1297122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1297122120 is about 36015.5816279565. The cubic root of 1297122120 is about 1090.5869296432.

The spelling of 1297122120 in words is "one billion, two hundred ninety-seven million, one hundred twenty-two thousand, one hundred twenty".