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121191928 = 231113229281
BaseRepresentation
bin1110011100100…
…11110111111000
322110001012001221
413032103313320
5222011120203
620005321424
73001054144
oct716236770
9273035057
10121191928
1162456320
1234706274
131c153600
141214a224
15a98dabd
hex7393df8

121191928 has 96 divisors (see below), whose sum is σ = 278672400. Its totient is φ = 48921600.

The previous prime is 121191919. The next prime is 121191949. The reversal of 121191928 is 829191121.

It is a junction number, because it is equal to n+sod(n) for n = 121191893 and 121191902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431148 + ... + 431428.

Almost surely, 2121191928 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 121191928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139336200).

121191928 is an abundant number, since it is smaller than the sum of its proper divisors (157480472).

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

121191928 is a wasteful number, since it uses less digits than its factorization.

121191928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its digits is 2592, while the sum is 34.

The square root of 121191928 is about 11008.7205432784. The cubic root of 121191928 is about 494.8701193099.

It can be divided in two parts, 1211 and 91928, that added together give a palindrome (93139).

The spelling of 121191928 in words is "one hundred twenty-one million, one hundred ninety-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 169 232 281 286 319 338 377 562 572 638 676 754 1124 1144 1276 1352 1508 1859 2248 2552 3016 3091 3653 3718 4147 4901 6182 7306 7436 8149 8294 9802 12364 14612 14872 16298 16588 19604 24728 29224 32596 33176 39208 40183 47489 53911 65192 80366 89639 94978 105937 107822 160732 179278 189956 211874 215644 321464 358556 379912 423748 431288 522379 717112 847496 1044758 1165307 1377181 2089516 2330614 2754362 4179032 4661228 5508724 9322456 11017448 15148991 30297982 60595964 121191928