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121134042 = 235281887
BaseRepresentation
bin1110011100001…
…01101111011010
322102221020200000
413032011233122
5222002242132
620004153430
73000423321
oct716055732
9272836600
10121134042
1162416887
1234698876
131c133163
14121330b8
15a97b87c
hex7385bda

121134042 has 48 divisors (see below), whose sum is σ = 273454272. Its totient is φ = 40188960.

The previous prime is 121134037. The next prime is 121134059. The reversal of 121134042 is 240431121.

It is a super-2 number, since 2×1211340422 = 29346912262515528, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136123 + ... + 137009.

It is an arithmetic number, because the mean of its divisors is an integer number (5696964).

Almost surely, 2121134042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121134042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136727136).

121134042 is an abundant number, since it is smaller than the sum of its proper divisors (152320230).

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

121134042 is an equidigital number, since it uses as much as digits as its factorization.

121134042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 121134042 is about 11006.0911317325. The cubic root of 121134042 is about 494.7913169941.

Adding to 121134042 its reverse (240431121), we get a palindrome (361565163).

It can be divided in two parts, 1211 and 34042, that added together give a palindrome (35253).

The spelling of 121134042 in words is "one hundred twenty-one million, one hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 281 486 562 843 887 1686 1774 2529 2661 5058 5322 7587 7983 15174 15966 22761 23949 45522 47898 68283 71847 136566 143694 215541 249247 431082 498494 747741 1495482 2243223 4486446 6729669 13459338 20189007 40378014 60567021 121134042