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121337472 = 2733110193
BaseRepresentation
bin1110011101101…
…11011010000000
322110022120201110
413032313122000
5222030244342
620012403320
73002231364
oct716673200
9273276643
10121337472
1162545703
1234776540
131c1a4929
14121872a4
15a9bbc9c
hex73b7680

121337472 has 64 divisors (see below), whose sum is σ = 332732160. Its totient is φ = 39137280.

The previous prime is 121337471. The next prime is 121337473. The reversal of 121337472 is 274733121.

It is an interprime number because it is at equal distance from previous prime (121337471) and next prime (121337473).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1213374722 = 29445564222701568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121337471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6808 + ... + 17000.

It is an arithmetic number, because the mean of its divisors is an integer number (5198940).

Almost surely, 2121337472 is an apocalyptic number.

121337472 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 121337472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166366080).

121337472 is an abundant number, since it is smaller than the sum of its proper divisors (211394688).

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

121337472 is a wasteful number, since it uses less digits than its factorization.

121337472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10241 (or 10229 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 121337472 is about 11015.3289555964. The cubic root of 121337472 is about 495.0681428482.

The spelling of 121337472 in words is "one hundred twenty-one million, three hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 10193 11904 20386 30579 40772 61158 81544 122316 163088 244632 315983 326176 489264 631966 652352 947949 978528 1263932 1304704 1895898 1957056 2527864 3791796 3914112 5055728 7583592 10111456 15167184 20222912 30334368 40445824 60668736 121337472