1101212162400 has 432 divisors, whose sum is σ = 4238043904080. Its totient is φ = 247577702400.

The previous prime is 1101212162399. The next prime is 1101212162437. The reversal of 1101212162400 is 42612121011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7096846 + ... + 7250354.

It is an arithmetic number, because the mean of its divisors is an integer number (9810286815).

Almost surely, 2^{1101212162400} is an apocalyptic number.

1101212162400 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 1101212162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119021952040).

1101212162400 is an abundant number, since it is smaller than the sum of its proper divisors (3136831741680).

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

1101212162400 is a wasteful number, since it uses less digits than its factorization.

1101212162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153607 (or 153587 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1101212162400 its reverse (42612121011), we get a palindrome (1143824283411).

The spelling of 1101212162400 in words is "one trillion, one hundred one billion, two hundred twelve million, one hundred sixty-two thousand, four hundred".