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121402624 = 287371831
BaseRepresentation
bin1110011110001…
…11010100000000
322110102220002111
413033013110000
5222034340444
620014025104
73002622340
oct717072400
9273386074
10121402624
116258a652
12347a8194
131c1c8495
14121a2d20
15a9d1234
hex73c7500

121402624 has 72 divisors (see below), whose sum is σ = 284590208. Its totient is φ = 50595840.

The previous prime is 121402607. The next prime is 121402643. The reversal of 121402624 is 426204121.

It is a happy number.

It is a super-2 number, since 2×1214026242 = 29477194228170752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121402595 and 121402604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65389 + ... + 67219.

Almost surely, 2121402624 is an apocalyptic number.

121402624 is a gapful number since it is divisible by the number (14) 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 121402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142295104).

121402624 is an abundant number, since it is smaller than the sum of its proper divisors (163187584).

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

121402624 is an equidigital number, since it uses as much as digits as its factorization.

121402624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 121402624 is about 11018.2858920977. The cubic root of 121402624 is about 495.1567357283.

Adding to 121402624 its reverse (426204121), we get a palindrome (547606745).

The spelling of 121402624 in words is "one hundred twenty-one million, four hundred two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 518 592 896 1036 1184 1792 1831 2072 2368 3662 4144 4736 7324 8288 9472 12817 14648 16576 25634 29296 33152 51268 58592 66304 67747 102536 117184 135494 205072 234368 270988 410144 468736 474229 541976 820288 948458 1083952 1640576 1896916 2167904 3281152 3793832 4335808 7587664 8671616 15175328 17343232 30350656 60701312 121402624