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121941718344 = 233219160755469
BaseRepresentation
bin111000110010001001…
…0101111010101001000
3102122202022212010022200
41301210102233111020
53444214034441334
6132004054120200
711544554334555
oct1614422572510
9378668763280
10121941718344
1147795a14926
121b772050060
13b664566934
145c8b18da2c
15328a6a4799
hex1c644af548

121941718344 has 96 divisors (see below), whose sum is σ = 347863464000. Its totient is φ = 38483254656.

The previous prime is 121941718309. The next prime is 121941718391. The reversal of 121941718344 is 443817149121.

121941718344 is a `hidden beast` number, since 1 + 2 + 19 + 417 + 183 + 44 = 666.

It is a super-2 number, since 2×1219417183442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121941718344.

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, 2170642 + ... + 2226110.

It is an arithmetic number, because the mean of its divisors is an integer number (3623577750).

Almost surely, 2121941718344 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 121941718344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173931732000).

121941718344 is an abundant number, since it is smaller than the sum of its proper divisors (225921745656).

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

121941718344 is a wasteful number, since it uses less digits than its factorization.

121941718344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57107 (or 57100 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 121941718344 in words is "one hundred twenty-one billion, nine hundred forty-one million, seven hundred eighteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1607 3214 4821 6428 9642 12856 14463 19284 28926 30533 38568 55469 57852 61066 91599 110938 115704 122132 166407 183198 221876 244264 274797 332814 366396 443752 499221 549594 665628 732792 998442 1053911 1099188 1331256 1996884 2107822 2198376 3161733 3993768 4215644 6323466 8431288 9485199 12646932 18970398 25293864 37940796 75881592 89138683 178277366 267416049 356554732 534832098 713109464 802248147 1069664196 1604496294 1693634977 2139328392 3208992588 3387269954 5080904931 6417985176 6774539908 10161809862 13549079816 15242714793 20323619724 30485429586 40647239448 60970859172 121941718344