1200058629120 has 528 divisors, whose sum is σ = 4713761838240. Its totient is φ = 279849074688.

The previous prime is 1200058629109. The next prime is 1200058629127. The reversal of 1200058629120 is 219268500021.

1200058629120 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 5 + 8 + 629 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200058629127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11329042 + ... + 11434478.

Almost surely, 2^{1200058629120} is an apocalyptic number.

1200058629120 is a gapful number since it is divisible by the number (10) 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 1200058629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356880919120).

1200058629120 is an abundant number, since it is smaller than the sum of its proper divisors (3513703209120).

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

1200058629120 is a wasteful number, since it uses less digits than its factorization.

1200058629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105500 (or 105479 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1200058629120 in words is "one trillion, two hundred billion, fifty-eight million, six hundred twenty-nine thousand, one hundred twenty".