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121269144 = 23341251491
BaseRepresentation
bin1110011101001…
…10101110011000
322110012002222210
413032212232120
5222021103034
620011115120
73001525233
oct716465630
9273162883
10121269144
11624a9337
1234742aa0
131c17c7b9
141216a41a
15a9a68e9
hex73a6b98

121269144 has 64 divisors (see below), whose sum is σ = 312439680. Its totient is φ = 39200000.

The previous prime is 121269139. The next prime is 121269167. The reversal of 121269144 is 441962121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246739 + ... + 247229.

It is an arithmetic number, because the mean of its divisors is an integer number (4881870).

Almost surely, 2121269144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121269144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156219840).

121269144 is an abundant number, since it is smaller than the sum of its proper divisors (191170536).

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

121269144 is a wasteful number, since it uses less digits than its factorization.

121269144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 121269144 is about 11012.2270227234. The cubic root of 121269144 is about 494.9751972064.

The spelling of 121269144 in words is "one hundred twenty-one million, two hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 251 328 491 492 502 753 982 984 1004 1473 1506 1964 2008 2946 3012 3928 5892 6024 10291 11784 20131 20582 30873 40262 41164 60393 61746 80524 82328 120786 123241 123492 161048 241572 246482 246984 369723 483144 492964 739446 985928 1478892 2957784 5052881 10105762 15158643 20211524 30317286 40423048 60634572 121269144