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121435214440 = 2357757391373
BaseRepresentation
bin111000100011000011…
…0100101001001101000
3102121110000210001120211
41301012012211021220
53442144403330230
6131441522030504
711526164202031
oct1610606451150
9377400701524
10121435214440
1147556015a61
121b6504a8434
13b5b3645397
145c3dbc3a88
15325aea442a
hex1c461a5268

121435214440 has 32 divisors (see below), whose sum is σ = 273265154280. Its totient is φ = 48567699712.

The previous prime is 121435214437. The next prime is 121435214441. The reversal of 121435214440 is 44412534121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 121434128676 + 1085764 = 348474^2 + 1042^2 .

It is a super-2 number, since 2×1214352144402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121435214441) 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, 114594 + ... + 505966.

Almost surely, 2121435214440 is an apocalyptic number.

121435214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121435214440 is an abundant number, since it is smaller than the sum of its proper divisors (151829939840).

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

121435214440 is a wasteful number, since it uses less digits than its factorization.

121435214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399141 (or 399137 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 121435214440 its reverse (44412534121), we get a palindrome (165847748561).

The spelling of 121435214440 in words is "one hundred twenty-one billion, four hundred thirty-five million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 7757 15514 31028 38785 62056 77570 155140 310280 391373 782746 1565492 1956865 3130984 3913730 7827460 15654920 3035880361 6071760722 12143521444 15179401805 24287042888 30358803610 60717607220 121435214440