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121457152 = 291511571
BaseRepresentation
bin1110011110101…
…00101000000000
322110112122220001
413033110220000
5222043112102
620015125344
73003240325
oct717245000
9273478801
10121457152
1162617613
1234813854
131c21724b
14121b8b4c
15a9e2487
hex73d4a00

121457152 has 40 divisors (see below), whose sum is σ = 244439712. Its totient is φ = 60288000.

The previous prime is 121457123. The next prime is 121457153. The reversal of 121457152 is 251754121.

It is a super-2 number, since 2×1214571522 = 29503679543902208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121457152.

It is not an unprimeable number, because it can be changed into a prime (121457153) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 76527 + ... + 78097.

Almost surely, 2121457152 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 121457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122219856).

121457152 is an abundant number, since it is smaller than the sum of its proper divisors (122982560).

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

121457152 is an equidigital number, since it uses as much as digits as its factorization.

121457152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1724 counting only the distinct ones).

The product of its digits is 2800, while the sum is 28.

The square root of 121457152 is about 11020.7600463852. The cubic root of 121457152 is about 495.2308578636.

The spelling of 121457152 in words is "one hundred twenty-one million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 512 604 1208 1571 2416 3142 4832 6284 9664 12568 19328 25136 38656 50272 77312 100544 201088 237221 402176 474442 804352 948884 1897768 3795536 7591072 15182144 30364288 60728576 121457152