202401420120000 has 420 divisors, whose sum is σ = 725127480848056. Its totient is φ = 53960636160000.

The previous prime is 202401420119963. The next prime is 202401420120037. The reversal of 202401420120000 is 21024104202.

202401420120000 is a `hidden beast` number, since 2 + 0 + 2 + 40 + 1 + 420 + 1 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (202401420119963) and next prime (202401420120037).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1533894027 + ... + 1534025973.

Almost surely, 2^{202401420120000} is an apocalyptic number.

202401420120000 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 202401420120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362563740424028).

202401420120000 is an abundant number, since it is smaller than the sum of its proper divisors (522726060728056).

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

202401420120000 is a wasteful number, since it uses less digits than its factorization.

202401420120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136246 (or 136218 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202401420120000 its reverse (21024104202), we get a palindrome (202422444224202).

The spelling of 202401420120000 in words is "two hundred two trillion, four hundred one billion, four hundred twenty million, one hundred twenty thousand".