20070123700200 has 384 divisors, whose sum is σ = 72880455352320. Its totient is φ = 4473073612800.

The previous prime is 20070123700181. The next prime is 20070123700267. The reversal of 20070123700200 is 200732107002.

It is a super-3 number, since 3×20070123700200³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318021849 + ... + 318084951.

It is an arithmetic number, because the mean of its divisors is an integer number (189792852480).

Almost surely, 2^{20070123700200} is an apocalyptic number.

20070123700200 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 20070123700200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36440227676160).

20070123700200 is an abundant number, since it is smaller than the sum of its proper divisors (52810331652120).

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

20070123700200 is a wasteful number, since it uses less digits than its factorization.

20070123700200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65017 (or 65008 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

Adding to 20070123700200 its reverse (200732107002), we get a palindrome (20270855807202).

The spelling of 20070123700200 in words is "twenty trillion, seventy billion, one hundred twenty-three million, seven hundred thousand, two hundred".