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121606920 = 2335512511
BaseRepresentation
bin1110011111110…
…01001100001000
322110211021100000
413033321030020
5222112410140
620022243000
73004433061
oct717711410
9273737300
10121606920
116270a096
1234886460
131c26a476
1412217568
15aa21a30
hex73f9308

121606920 has 96 divisors (see below), whose sum is σ = 409893120. Its totient is φ = 32425920.

The previous prime is 121606879. The next prime is 121606921. The reversal of 121606920 is 29606121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121606921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3465 + ... + 15975.

It is an arithmetic number, because the mean of its divisors is an integer number (4269720).

Almost surely, 2121606920 is an apocalyptic number.

121606920 is a gapful number since it is divisible by the number (10) 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 121606920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204946560).

121606920 is an abundant number, since it is smaller than the sum of its proper divisors (288286200).

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

121606920 is a wasteful number, since it uses less digits than its factorization.

121606920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537 (or 12521 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 121606920 is about 11027.5527656865. The cubic root of 121606920 is about 495.4343295371.

The spelling of 121606920 in words is "one hundred twenty-one million, six hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 12511 25022 37533 50044 62555 75066 100088 112599 125110 150132 187665 225198 250220 300264 337797 375330 450396 500440 562995 675594 750660 900792 1013391 1125990 1351188 1501320 1688985 2026782 2251980 2702376 3040173 3377970 4053564 4503960 5066955 6080346 6755940 8107128 10133910 12160692 13511880 15200865 20267820 24321384 30401730 40535640 60803460 121606920