121310034464352 has 96 divisors (see below), whose sum is σ = 337563972057312. Its totient is φ = 38013641129984.

The previous prime is 121310034464273. The next prime is 121310034464371. The reversal of 121310034464352 is 253464430013121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121310034464352² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121310034464352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41969013 + ... + 44766260.

It is an arithmetic number, because the mean of its divisors is an integer number (3516291375597).

Almost surely, 2^{121310034464352} is an apocalyptic number.

121310034464352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121310034464352 is an abundant number, since it is smaller than the sum of its proper divisors (216253937592960).

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

121310034464352 is a wasteful number, since it uses less digits than its factorization.

121310034464352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86736160 (or 86736152 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 121310034464352 its reverse (253464430013121), we get a palindrome (374774464477473).

The spelling of 121310034464352 in words is "one hundred twenty-one trillion, three hundred ten billion, thirty-four million, four hundred sixty-four thousand, three hundred fifty-two".