214012260000 has 960 divisors, whose sum is σ = 972660648960. Its totient is φ = 44461440000.

The previous prime is 214012259999. The next prime is 214012260139. The reversal of 214012260000 is 62210412.

214012260000 is a `hidden beast` number, since 2 + 1 + 40 + 1 + 22 + 600 + 0 + 0 = 666.

214012260000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41577427 + ... + 41582573.

It is an arithmetic number, because the mean of its divisors is an integer number (1013188176).

Almost surely, 2^214012260000 is an apocalyptic number.

214012260000 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 214012260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486330324480).

214012260000 is an abundant number, since it is smaller than the sum of its proper divisors (758648388960).

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

214012260000 is a wasteful number, since it uses less digits than its factorization.

214012260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 214012260000 its reverse (62210412), we get a palindrome (214074470412).

The spelling of 214012260000 in words is "two hundred fourteen billion, twelve million, two hundred sixty thousand".