2124006270000 has 200 divisors, whose sum is σ = 6985950017904. Its totient is φ = 555714432000.

The previous prime is 2124006269963. The next prime is 2124006270101. The reversal of 2124006270000 is 726004212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2124006270000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 922074 + ... + 2257926.

Almost surely, 2^{2124006270000} is an apocalyptic number.

2124006270000 is a gapful number since it is divisible by the number (20) 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 2124006270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492975008952).

2124006270000 is an abundant number, since it is smaller than the sum of its proper divisors (4861943747904).

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

2124006270000 is a wasteful number, since it uses less digits than its factorization.

2124006270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335937 (or 1335916 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 2124006270000 in words is "two trillion, one hundred twenty-four billion, six million, two hundred seventy thousand".