19121630154912 has 384 divisors, whose sum is σ = 57007843200000. Its totient is φ = 6234318544896.

The previous prime is 19121630154901. The next prime is 19121630154917. The reversal of 19121630154912 is 21945103612191.

19121630154912 is a `hidden beast` number, since 1 + 9 + 1 + 2 + 1 + 630 + 1 + 5 + 4 + 9 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (19121630154917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4159586598 + ... + 4159591194.

It is an arithmetic number, because the mean of its divisors is an integer number (148457925000).

Almost surely, 2^{19121630154912} is an apocalyptic number.

19121630154912 is a gapful number since it is divisible by the number (12) 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 19121630154912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28503921600000).

19121630154912 is an abundant number, since it is smaller than the sum of its proper divisors (37886213045088).

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

19121630154912 is a wasteful number, since it uses less digits than its factorization.

19121630154912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 19121630154912 in words is "nineteen trillion, one hundred twenty-one billion, six hundred thirty million, one hundred fifty-four thousand, nine hundred twelve".