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126221538720 = 25351913840081
BaseRepresentation
bin111010110001101100…
…0111101010110100000
3110001210121002112011110
41311203120331112200
54032000203214340
6133552501343320
712055613243154
oct1654330752640
9401717075143
10126221538720
114959184a262
1220567407b40
13bb9713c024
146175743064
15343b29e680
hex1d6363d5a0

126221538720 has 96 divisors (see below), whose sum is σ = 418524079680. Its totient is φ = 31887544320.

The previous prime is 126221538673. The next prime is 126221538731. The reversal of 126221538720 is 27835122621.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6910921 + ... + 6929160.

It is an arithmetic number, because the mean of its divisors is an integer number (4359625830).

Almost surely, 2126221538720 is an apocalyptic number.

126221538720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126221538720 is an abundant number, since it is smaller than the sum of its proper divisors (292302540960).

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

126221538720 is a wasteful number, since it uses less digits than its factorization.

126221538720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840118 (or 13840110 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 126221538720 in words is "one hundred twenty-six billion, two hundred twenty-one million, five hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 13840081 27680162 41520243 55360324 69200405 83040486 110720648 138400810 166080972 207601215 221441296 262961539 276801620 332161944 415202430 442882592 525923078 553603240 664323888 788884617 830404860 1051846156 1107206480 1314807695 1328647776 1577769234 1660809720 2103692312 2214412960 2629615390 3155538468 3321619440 3944423085 4207384624 5259230780 6311076936 6643238880 7888846170 8414769248 10518461560 12622153872 15777692340 21036923120 25244307744 31555384680 42073846240 63110769360 126221538720