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121741944 = 23323243223
BaseRepresentation
bin1110100000110…
…10001001111000
322111002010112220
413100122021320
5222131220234
620025204040
73005534532
oct720321170
9274063486
10121741944
11627a1585
1234930620
131c2b6a6c
1412250852
15aa4ba49
hex741a278

121741944 has 96 divisors (see below), whose sum is σ = 327022080. Its totient is φ = 37743552.

The previous prime is 121741897. The next prime is 121741973. The reversal of 121741944 is 449147121.

It is a super-2 number, since 2×1217419442 = 29642201857798272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545817 + ... + 546039.

It is an arithmetic number, because the mean of its divisors is an integer number (3406480).

Almost surely, 2121741944 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 121741944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163511040).

121741944 is an abundant number, since it is smaller than the sum of its proper divisors (205280136).

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

121741944 is a wasteful number, since it uses less digits than its factorization.

121741944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 294 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 121741944 is about 11033.6731871123. The cubic root of 121741944 is about 495.6176271692.

The spelling of 121741944 in words is "one hundred twenty-one million, seven hundred forty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 223 258 276 344 446 516 529 552 669 892 989 1032 1058 1338 1587 1784 1978 2116 2676 2967 3174 3956 4232 5129 5352 5934 6348 7912 9589 10258 11868 12696 15387 19178 20516 22747 23736 28767 30774 38356 41032 45494 57534 61548 68241 76712 90988 115068 117967 123096 136482 181976 220547 230136 235934 272964 353901 441094 471868 545928 661641 707802 882188 943736 1323282 1415604 1764376 2646564 2831208 5072581 5293128 10145162 15217743 20290324 30435486 40580648 60870972 121741944