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1202001220 = 225722338501
BaseRepresentation
bin100011110100101…
…0001010101000100
310002202202222200201
41013221101111010
54430203014340
6315135020244
741533561510
oct10751212504
93082688621
101202001220
11567553342
1229666a684
13162045334
14b58d1140
15707d379a
hex47a51544

1202001220 has 48 divisors (see below), whose sum is σ = 2897814528. Its totient is φ = 410256000.

The previous prime is 1202001211. The next prime is 1202001221. The reversal of 1202001220 is 221002021.

1202001220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1202001197 and 1202001206.

It is not an unprimeable number, because it can be changed into a prime (1202001221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11970 + ... + 50470.

It is an arithmetic number, because the mean of its divisors is an integer number (60371136).

Almost surely, 21202001220 is an apocalyptic number.

1202001220 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 1202001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448907264).

1202001220 is an abundant number, since it is smaller than the sum of its proper divisors (1695813308).

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

1202001220 is a wasteful number, since it uses less digits than its factorization.

1202001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38740 (or 38738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1202001220 is about 34669.8892412422. The cubic root of 1202001220 is about 1063.2489671002.

Adding to 1202001220 its reverse (221002021), we get a palindrome (1423003241).

The spelling of 1202001220 in words is "one billion, two hundred two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 4460 6244 7805 15610 31220 38501 77002 154004 192505 269507 385010 539014 770020 1078028 1347535 2695070 5390140 8585723 17171446 34342892 42928615 60100061 85857230 120200122 171714460 240400244 300500305 601000610 1202001220