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121248240 = 2435505201
BaseRepresentation
bin1110011101000…
…01100111110000
322110011001022120
413032201213300
5222014420430
620010434240
73001410261
oct716414760
9273131276
10121248240
1162494663
1234732980
131c173129
1412162968
15a9a0610
hex73a19f0

121248240 has 40 divisors (see below), whose sum is σ = 375870288. Its totient is φ = 32332800.

The previous prime is 121248133. The next prime is 121248241. The reversal of 121248240 is 42842121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1212482402 = 29402271406195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121248240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121248241) 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, 252361 + ... + 252840.

Almost surely, 2121248240 is an apocalyptic number.

121248240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121248240 is an abundant number, since it is smaller than the sum of its proper divisors (254622048).

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

121248240 is a wasteful number, since it uses less digits than its factorization.

121248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505217 (or 505211 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 121248240 is about 11011.2778549994. The cubic root of 121248240 is about 494.9467548075.

The spelling of 121248240 in words is "one hundred twenty-one million, two hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 505201 1010402 1515603 2020804 2526005 3031206 4041608 5052010 6062412 7578015 8083216 10104020 12124824 15156030 20208040 24249648 30312060 40416080 60624120 121248240