1387002120 has 512 divisors, whose sum is σ = 5434490880. Its totient is φ = 275742720.

The previous prime is 1387002107. The next prime is 1387002121. The reversal of 1387002120 is 212007831.

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

It is not an unprimeable number, because it can be changed into a prime (1387002121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13465989 + ... + 13466091.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 2^1387002120 is an apocalyptic number.

1387002120 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 1387002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717245440).

1387002120 is an abundant number, since it is smaller than the sum of its proper divisors (4047488760).

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

1387002120 is a wasteful number, since it uses less digits than its factorization.

1387002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1387002120 is about 37242.4773612068. The cubic root of 1387002120 is about 1115.2161284133.

Adding to 1387002120 its reverse (212007831), we get a palindrome (1599009951).

The spelling of 1387002120 in words is "one billion, three hundred eighty-seven million, two thousand, one hundred twenty".