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121037994 = 232711217467
BaseRepresentation
bin1110011011011…
…10010010101010
322102202100220200
413031232102222
5221441203434
620002133030
72666543310
oct715562252
9272670820
10121037994
1162360700
1234651176
131c0cb51c
141210a0b0
15a95d199
hex736e4aa

121037994 has 144 divisors (see below), whose sum is σ = 349562304. Its totient is φ = 29525760.

The previous prime is 121037971. The next prime is 121038013. The reversal of 121037994 is 499730121.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258949 + ... + 259415.

It is an arithmetic number, because the mean of its divisors is an integer number (2427516).

Almost surely, 2121037994 is an apocalyptic number.

121037994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121037994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174781152).

121037994 is an abundant number, since it is smaller than the sum of its proper divisors (228524310).

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

121037994 is a wasteful number, since it uses less digits than its factorization.

121037994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 121037994 is about 11001.7268644518. The cubic root of 121037994 is about 494.6605079559.

It can be divided in two parts, 1210 and 37994, that added together give a square (39204 = 1982).

The spelling of 121037994 in words is "one hundred twenty-one million, thirty-seven thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 121 126 153 154 187 198 231 238 242 306 357 363 374 462 467 561 693 714 726 847 934 1071 1089 1122 1309 1386 1401 1683 1694 2057 2142 2178 2541 2618 2802 3269 3366 3927 4114 4203 5082 5137 6171 6538 7623 7854 7939 8406 9807 10274 11781 12342 14399 15246 15411 15878 18513 19614 23562 23817 28798 29421 30822 35959 37026 43197 46233 47634 55573 56507 58842 71451 71918 86394 87329 92466 107877 111146 113014 129591 142902 166719 169521 174658 215754 259182 261987 323631 333438 339042 395549 500157 508563 523974 611303 647262 785961 791098 960619 1000314 1017126 1186647 1222606 1571922 1833909 1921238 2373294 2881857 3559941 3667818 5501727 5763714 6724333 7119882 8645571 11003454 13448666 17291142 20172999 40345998 60518997 121037994