214125120 has 280 divisors, whose sum is σ = 832030848. Its totient is φ = 51840000.

The previous prime is 214125071. The next prime is 214125127. The reversal of 214125120 is 21521412.

214125120 = T₄₀₁ + T₄₀₂ + ... + T₁₁₀₄.

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

It is a junction number, because it is equal to n+sod(n) for n = 214125093 and 214125102.

It is not an unprimeable number, because it can be changed into a prime (214125127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284745 + ... + 285495.

Almost surely, 2^214125120 is an apocalyptic number.

214125120 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 214125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416015424).

214125120 is an abundant number, since it is smaller than the sum of its proper divisors (617905728).

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

214125120 is a wasteful number, since it uses less digits than its factorization.

214125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 214125120 is about 14633.0147269795. The cubic root of 214125120 is about 598.2589528111.

Adding to 214125120 its reverse (21521412), we get a palindrome (235646532).

It can be divided in two parts, 2141 and 25120, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 214125120 in words is "two hundred fourteen million, one hundred twenty-five thousand, one hundred twenty".