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121560252 = 223111922551
BaseRepresentation
bin1110011111011…
…01110010111100
322110201220022120
413033231302330
5222104412002
620021242540
73004150032
oct717556274
9273656276
10121560252
1162688020
1234863450
131c252158
1412204552
15aa12cbc
hex73edcbc

121560252 has 72 divisors (see below), whose sum is σ = 326696832. Its totient is φ = 34884000.

The previous prime is 121560247. The next prime is 121560277. The reversal of 121560252 is 252065121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46377 + ... + 48927.

It is an arithmetic number, because the mean of its divisors is an integer number (4537456).

Almost surely, 2121560252 is an apocalyptic number.

121560252 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 121560252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163348416).

121560252 is an abundant number, since it is smaller than the sum of its proper divisors (205136580).

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

121560252 is a wasteful number, since it uses less digits than its factorization.

121560252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 121560252 is about 11025.4365899950. The cubic root of 121560252 is about 495.3709452945.

The spelling of 121560252 in words is "one hundred twenty-one million, five hundred sixty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 361 418 627 722 836 1083 1254 1444 2166 2508 2551 3971 4332 5102 7653 7942 10204 11913 15306 15884 23826 28061 30612 47652 48469 56122 84183 96938 112244 145407 168366 193876 290814 336732 533159 581628 920911 1066318 1599477 1841822 2132636 2762733 3198954 3683644 5525466 6397908 10130021 11050932 20260042 30390063 40520084 60780126 121560252