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121912704 = 2732971091
BaseRepresentation
bin1110100010000…
…11110110000000
322111101210210100
413101003312000
5222202201304
620033002400
73010145424
oct721036600
9274353710
10121912704
11628a8901
12349b3400
131c3466c4
1412296b84
15aa82439
hex7443d80

121912704 has 96 divisors (see below), whose sum is σ = 354758040. Its totient is φ = 40181760.

The previous prime is 121912691. The next prime is 121912733. The reversal of 121912704 is 407219121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111199 + ... + 112289.

Almost surely, 2121912704 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 121912704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177379020).

121912704 is an abundant number, since it is smaller than the sum of its proper divisors (232845336).

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

121912704 is a wasteful number, since it uses less digits than its factorization.

121912704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 121912704 is about 11041.4086057894. The cubic root of 121912704 is about 495.8492431179.

The spelling of 121912704 in words is "one hundred twenty-one million, nine hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 288 291 384 388 576 582 776 873 1091 1152 1164 1552 1746 2182 2328 3104 3273 3492 4364 4656 6208 6546 6984 8728 9312 9819 12416 13092 13968 17456 18624 19638 26184 27936 34912 37248 39276 52368 55872 69824 78552 104736 105827 111744 139648 157104 209472 211654 314208 317481 418944 423308 628416 634962 846616 952443 1256832 1269924 1693232 1904886 2539848 3386464 3809772 5079696 6772928 7619544 10159392 13545856 15239088 20318784 30478176 40637568 60956352 121912704