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121213872 = 24321373887
BaseRepresentation
bin1110011100110…
…01001110110000
322110002022011200
413032121032300
5222012320442
620010011200
73001205133
oct716311660
9273068150
10121213872
116247085a
1234716b00
131c1605b0
141215421a
15a99534c
hex73993b0

121213872 has 120 divisors (see below), whose sum is σ = 370747104. Its totient is φ = 36744192.

The previous prime is 121213871. The next prime is 121213889. The reversal of 121213872 is 278312121.

It is not an unprimeable number, because it can be changed into a prime (121213871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136213 + ... + 137099.

Almost surely, 2121213872 is an apocalyptic number.

121213872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121213872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185373552).

121213872 is an abundant number, since it is smaller than the sum of its proper divisors (249533232).

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

121213872 is a wasteful number, since it uses less digits than its factorization.

121213872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 978 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 121213872 is about 11009.7171625796. The cubic root of 121213872 is about 494.8999859155.

Adding to 121213872 its reverse (278312121), we get a palindrome (399525993).

The spelling of 121213872 in words is "one hundred twenty-one million, two hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 312 438 468 584 624 657 876 887 936 949 1168 1314 1752 1774 1872 1898 2628 2661 2847 3504 3548 3796 5256 5322 5694 7096 7592 7983 8541 10512 10644 11388 11531 14192 15184 15966 17082 21288 22776 23062 31932 34164 34593 42576 45552 46124 63864 64751 68328 69186 92248 103779 127728 129502 136656 138372 184496 194253 207558 259004 276744 388506 415116 518008 553488 582759 777012 830232 841763 1036016 1165518 1554024 1660464 1683526 2331036 2525289 3108048 3367052 4662072 5050578 6734104 7575867 9324144 10101156 13468208 15151734 20202312 30303468 40404624 60606936 121213872