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121203552 = 25331139293
BaseRepresentation
bin1110011100101…
…10101101100000
322110001210000110
413032112231200
5222012003202
620005451320
73001133061
oct716265540
9273053013
10121203552
1162464028
1234710b40
131c1589a2
1412150568
15a99226c
hex7396b60

121203552 has 96 divisors (see below), whose sum is σ = 331914240. Its totient is φ = 38684160.

The previous prime is 121203497. The next prime is 121203569. The reversal of 121203552 is 255302121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413518 + ... + 413810.

It is an arithmetic number, because the mean of its divisors is an integer number (3457440).

Almost surely, 2121203552 is an apocalyptic number.

121203552 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 121203552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957120).

121203552 is an abundant number, since it is smaller than the sum of its proper divisors (210710688).

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

121203552 is a wasteful number, since it uses less digits than its factorization.

121203552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 121203552 is about 11009.2484757135. The cubic root of 121203552 is about 494.8859404581.

Adding to 121203552 its reverse (255302121), we get a palindrome (376505673).

The spelling of 121203552 in words is "one hundred twenty-one million, two hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 139 186 248 278 293 372 417 496 556 586 744 834 879 992 1112 1172 1488 1668 1758 2224 2344 2976 3336 3516 4309 4448 4688 6672 7032 8618 9083 9376 12927 13344 14064 17236 18166 25854 27249 28128 34472 36332 40727 51708 54498 68944 72664 81454 103416 108996 122181 137888 145328 162908 206832 217992 244362 290656 325816 413664 435984 488724 651632 871968 977448 1262537 1303264 1954896 2525074 3787611 3909792 5050148 7575222 10100296 15150444 20200592 30300888 40401184 60601776 121203552