84211125120 has 384 divisors, whose sum is σ = 317444400000. Its totient is φ = 21273643008.

The previous prime is 84211125107. The next prime is 84211125133. The reversal of 84211125120 is 2152111248.

84211125120 is a `hidden beast` number, since 8 + 421 + 112 + 5 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (84211125107) and next prime (84211125133).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2940631 + ... + 2969129.

It is an arithmetic number, because the mean of its divisors is an integer number (826678125).

Almost surely, 2^84211125120 is an apocalyptic number.

84211125120 is a gapful number since it is divisible by the number (80) 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 84211125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158722200000).

84211125120 is an abundant number, since it is smaller than the sum of its proper divisors (233233274880).

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

84211125120 is a wasteful number, since it uses less digits than its factorization.

84211125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28552 (or 28528 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 84211125120 its reverse (2152111248), we get a palindrome (86363236368).

The spelling of 84211125120 in words is "eighty-four billion, two hundred eleven million, one hundred twenty-five thousand, one hundred twenty".