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1221300120 = 233567151903
BaseRepresentation
bin100100011001011…
…1000111110011000
310011010002110210210
41020302320332120
510000123100440
6321104411120
742156610515
oct11062707630
93133073723
101221300120
11577434947
122a1016aa0
131660415c1
14b82b630c
1572346a80
hex48cb8f98

1221300120 has 64 divisors (see below), whose sum is σ = 3718609920. Its totient is φ = 320817024.

The previous prime is 1221300109. The next prime is 1221300127. The reversal of 1221300120 is 210031221.

It is a super-2 number, since 2×12213001202 = 2983147966224028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1221300096 and 1221300105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221300127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67912 + ... + 83991.

It is an arithmetic number, because the mean of its divisors is an integer number (58103280).

Almost surely, 21221300120 is an apocalyptic number.

1221300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221300120 is an abundant number, since it is smaller than the sum of its proper divisors (2497309800).

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

1221300120 is a wasteful number, since it uses less digits than its factorization.

1221300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151984 (or 151980 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1221300120 is about 34947.1046010968. The cubic root of 1221300120 is about 1068.9091628487.

Adding to 1221300120 its reverse (210031221), we get a palindrome (1431331341).

The spelling of 1221300120 in words is "one billion, two hundred twenty-one million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 151903 303806 455709 607612 759515 911418 1215224 1519030 1822836 2278545 3038060 3645672 4557090 6076120 9114180 10177501 18228360 20355002 30532503 40710004 50887505 61065006 81420008 101775010 122130012 152662515 203550020 244260024 305325030 407100040 610650060 1221300120