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121677612 = 223753151181
BaseRepresentation
bin1110100000010…
…10011100101100
322110221212022020
413100022130230
5222122140422
620023550140
73005146140
oct720123454
9273855266
10121677612
1162758211
12348bb350
131c2936b4
1412235220
15aa3795c
hex740a72c

121677612 has 96 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 33696000.

The previous prime is 121677607. The next prime is 121677631. The reversal of 121677612 is 216776121.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672162 + ... + 672342.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2121677612 is an apocalyptic number.

121677612 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 121677612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

121677612 is an abundant number, since it is smaller than the sum of its proper divisors (212946132).

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

121677612 is a wasteful number, since it uses less digits than its factorization.

121677612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 121677612 is about 11030.7575442487. The cubic root of 121677612 is about 495.5303121761.

The spelling of 121677612 in words is "one hundred twenty-one million, six hundred seventy-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 151 159 181 212 302 318 362 371 453 543 604 636 724 742 906 1057 1086 1113 1267 1484 1812 2114 2172 2226 2534 3171 3801 4228 4452 5068 6342 7602 8003 9593 12684 15204 16006 19186 24009 27331 28779 32012 38372 48018 54662 56021 57558 67151 81993 96036 109324 112042 115116 134302 163986 168063 191317 201453 224084 268604 327972 336126 382634 402906 573951 672252 765268 805812 1147902 1448543 2295804 2897086 4345629 5794172 8691258 10139801 17382516 20279602 30419403 40559204 60838806 121677612