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121716252 = 22327547883
BaseRepresentation
bin1110100000100…
…11111000011100
322111000211022100
413100103320130
5222124410002
620024445100
73005366610
oct720237034
9274024270
10121716252
1162784249
1234919790
131c2a8168
1412245340
15aa4411c
hex7413e1c

121716252 has 72 divisors (see below), whose sum is σ = 352666496. Its totient is φ = 34673184.

The previous prime is 121716239. The next prime is 121716281. The reversal of 121716252 is 252617121.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 137403 + ... + 138285.

Almost surely, 2121716252 is an apocalyptic number.

121716252 is a gapful number since it is divisible by the number (12) 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 121716252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176333248).

121716252 is an abundant number, since it is smaller than the sum of its proper divisors (230950244).

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

121716252 is a wasteful number, since it uses less digits than its factorization.

121716252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1442 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 121716252 is about 11032.5088715124. The cubic root of 121716252 is about 495.5827602381.

The spelling of 121716252 in words is "one hundred twenty-one million, seven hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 547 883 1094 1641 1766 2188 2649 3282 3532 3829 4923 5298 6181 6564 7658 7947 9846 10596 11487 12362 15316 15894 18543 19692 22974 24724 31788 34461 37086 45948 55629 68922 74172 111258 137844 222516 483001 966002 1449003 1932004 2898006 3381007 4347009 5796012 6762014 8694018 10143021 13524028 17388036 20286042 30429063 40572084 60858126 121716252