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121656556 = 227171311951
BaseRepresentation
bin1110100000001…
…01010011101100
322110220210102101
413100011103230
5222121002211
620023304444
73005030560
oct720052354
9273823371
10121656556
116274340a
12348ab124
131c286c38
141222b6a0
15aa315c1
hex74054ec

121656556 has 48 divisors (see below), whose sum is σ = 259725312. Its totient is φ = 48672000.

The previous prime is 121656551. The next prime is 121656581. The reversal of 121656556 is 655656121.

It is a super-2 number, since 2×1216565562 = 29600635235562272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121656551) 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, 61381 + ... + 63331.

It is an arithmetic number, because the mean of its divisors is an integer number (5410944).

Almost surely, 2121656556 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 121656556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129862656).

121656556 is an abundant number, since it is smaller than the sum of its proper divisors (138068756).

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

121656556 is a wasteful number, since it uses less digits than its factorization.

121656556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2108 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The square root of 121656556 is about 11029.8030807445. The cubic root of 121656556 is about 495.5017271088.

It can be divided in two parts, 12165 and 6556, that added together give a triangular number (18721 = T193).

The spelling of 121656556 in words is "one hundred twenty-one million, six hundred fifty-six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 131 238 262 476 524 917 1834 1951 2227 3668 3902 4454 7804 8908 13657 15589 27314 31178 33167 54628 62356 66334 132668 232169 255581 464338 511162 928676 1022324 1789067 3578134 4344877 7156268 8689754 17379508 30414139 60828278 121656556