12101457315840 has 384 divisors, whose sum is σ = 40419025920000. Its totient is φ = 3085178961920.

The previous prime is 12101457315811. The next prime is 12101457315841. The reversal of 12101457315840 is 4851375410121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 12101457315792 and 12101457315801.

It is not an unprimeable number, because it can be changed into a prime (12101457315841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2118970585 + ... + 2118976295.

It is an arithmetic number, because the mean of its divisors is an integer number (105257880000).

Almost surely, 2^{12101457315840} is an apocalyptic number.

12101457315840 is a gapful number since it is divisible by the number (10) 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 12101457315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209512960000).

12101457315840 is an abundant number, since it is smaller than the sum of its proper divisors (28317568604160).

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

12101457315840 is a wasteful number, since it uses less digits than its factorization.

12101457315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8763 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 12101457315840 in words is "twelve trillion, one hundred one billion, four hundred fifty-seven million, three hundred fifteen thousand, eight hundred forty".