30102200400 has 120 divisors (see below), whose sum is σ = 97187144704. Its totient is φ = 7964006400.

The previous prime is 30102200393. The next prime is 30102200417. The reversal of 30102200400 is 400220103.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×30102200400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53640 + ... + 251160.

Almost surely, 2^30102200400 is an apocalyptic number.

30102200400 is a gapful number since it is divisible by the number (30) 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 30102200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48593572352).

30102200400 is an abundant number, since it is smaller than the sum of its proper divisors (67084944304).

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

30102200400 is a wasteful number, since it uses less digits than its factorization.

30102200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197669 (or 197658 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 30102200400 its reverse (400220103), we get a palindrome (30502420503).

The spelling of 30102200400 in words is "thirty billion, one hundred two million, two hundred thousand, four hundred".