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121146424 = 23721991553
BaseRepresentation
bin1110011100010…
…00110000111000
322102221212122121
413032020300320
5222003141144
620004331024
73000504400
oct716106070
9272855577
10121146424
1162425113
12346a3a74
131c138999
1412137800
15a980384
hex7388c38

121146424 has 48 divisors (see below), whose sum is σ = 265734000. Its totient is φ = 51625728.

The previous prime is 121146409. The next prime is 121146439. The reversal of 121146424 is 424641121.

It is an interprime number because it is at equal distance from previous prime (121146409) and next prime (121146439).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77232 + ... + 78784.

It is an arithmetic number, because the mean of its divisors is an integer number (5536125).

Almost surely, 2121146424 is an apocalyptic number.

121146424 is a gapful number since it is divisible by the number (14) 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 121146424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132867000).

121146424 is an abundant number, since it is smaller than the sum of its proper divisors (144587576).

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

121146424 is a wasteful number, since it uses less digits than its factorization.

121146424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1761 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 121146424 is about 11006.6536240585. The cubic root of 121146424 is about 494.8081751711.

Adding to 121146424 its reverse (424641121), we get a palindrome (545787545).

The spelling of 121146424 in words is "one hundred twenty-one million, one hundred forty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 199 392 398 796 1393 1553 1592 2786 3106 5572 6212 9751 10871 11144 12424 19502 21742 39004 43484 76097 78008 86968 152194 304388 309047 608776 618094 1236188 2163329 2472376 4326658 8653316 15143303 17306632 30286606 60573212 121146424