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121920036 = 22373191559
BaseRepresentation
bin1110100010001…
…01101000100100
322111102011211220
413101011220210
5222202420121
620033100340
73010206000
oct721055044
9274364756
10121920036
1162903367
12349b76b0
131c349b44
1412299700
15aa846c6
hex7445a24

121920036 has 96 divisors (see below), whose sum is σ = 349440000. Its totient is φ = 32979744.

The previous prime is 121920013. The next prime is 121920049. The reversal of 121920036 is 630029121.

It is a junction number, because it is equal to n+sod(n) for n = 121919988 and 121920015.

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 31 ways as a sum of consecutive naturals, for example, 77425 + ... + 78983.

It is an arithmetic number, because the mean of its divisors is an integer number (3640000).

Almost surely, 2121920036 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 121920036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720000).

121920036 is an abundant number, since it is smaller than the sum of its proper divisors (227519964).

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

121920036 is a wasteful number, since it uses less digits than its factorization.

121920036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 121920036 is about 11041.7406236517. The cubic root of 121920036 is about 495.8591832736.

Adding to 121920036 its reverse (630029121), we get a palindrome (751949157).

The spelling of 121920036 in words is "one hundred twenty-one million, nine hundred twenty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 343 399 532 588 686 798 931 1029 1372 1559 1596 1862 2058 2793 3118 3724 4116 4677 5586 6236 6517 9354 10913 11172 13034 18708 19551 21826 26068 29621 32739 39102 43652 59242 65478 76391 78204 88863 118484 130956 152782 177726 207347 229173 305564 355452 414694 458346 534737 622041 829388 916692 1069474 1244082 1451429 1604211 2138948 2488164 2902858 3208422 4354287 5805716 6416844 8708574 10160003 17417148 20320006 30480009 40640012 60960018 121920036