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1200102120 = 23325739719
BaseRepresentation
bin100011110001000…
…0001101011101000
310002122012111121200
41013202001223220
54424211231440
6315030204200
741511462000
oct10742015350
93078174550
101200102120
11566476538
12295ab3660
1316182bac9
14b5559000
157055ac30
hex47881ae8

1200102120 has 192 divisors, whose sum is σ = 4548960000. Its totient is φ = 274280832.

The previous prime is 1200102109. The next prime is 1200102203. The reversal of 1200102120 is 212010021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118621 + ... + 128339.

It is an arithmetic number, because the mean of its divisors is an integer number (23692500).

Almost surely, 21200102120 is an apocalyptic number.

1200102120 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 1200102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274480000).

1200102120 is an abundant number, since it is smaller than the sum of its proper divisors (3348857880).

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

1200102120 is a wasteful number, since it uses less digits than its factorization.

1200102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9757 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1200102120 is about 34642.4900952573. The cubic root of 1200102120 is about 1062.6887124090.

Adding to 1200102120 its reverse (212010021), we get a palindrome (1412112141).

The spelling of 1200102120 in words is "one billion, two hundred million, one hundred two thousand, one hundred twenty".