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121541040 = 2433556269
BaseRepresentation
bin1110011111010…
…01000110110000
322110200220222000
413033221012300
5222103303130
620021014000
73004040025
oct717510660
9273626860
10121541040
1162674645
1234854300
131c24649a
14121db54c
15aa0c260
hex73e91b0

121541040 has 80 divisors (see below), whose sum is σ = 418648800. Its totient is φ = 32410368.

The previous prime is 121541033. The next prime is 121541047. The reversal of 121541040 is 40145121.

121541040 is a `hidden beast` number, since 1 + 215 + 410 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (121541033) and next prime (121541047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121541047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25975 + ... + 30294.

It is an arithmetic number, because the mean of its divisors is an integer number (5233110).

Almost surely, 2121541040 is an apocalyptic number.

121541040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121541040 is an abundant number, since it is smaller than the sum of its proper divisors (297107760).

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

121541040 is a wasteful number, since it uses less digits than its factorization.

121541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56291 (or 56279 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 121541040 is about 11024.5652975526. The cubic root of 121541040 is about 495.3448469390.

Adding to 121541040 its reverse (40145121), we get a palindrome (161686161).

The spelling of 121541040 in words is "one hundred twenty-one million, five hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 56269 112538 168807 225076 281345 337614 450152 506421 562690 675228 844035 900304 1012842 1125380 1350456 1519263 1688070 2025684 2250760 2532105 2700912 3038526 3376140 4051368 4501520 5064210 6077052 6752280 7596315 8102736 10128420 12154104 13504560 15192630 20256840 24308208 30385260 40513680 60770520 121541040