11412310601088 has 192 divisors, whose sum is σ = 34047528028800. Its totient is φ = 3665311948800.

The previous prime is 11412310601063. The next prime is 11412310601113. The reversal of 11412310601088 is 88010601321411.

11412310601088 is a `hidden beast` number, since 1 + 1 + 4 + 12 + 31 + 0 + 601 + 0 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11412310601063) and next prime (11412310601113).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×11412310601088³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7480308 + ... + 8875788.

It is an arithmetic number, because the mean of its divisors is an integer number (177330875150).

Almost surely, 2^{11412310601088} is an apocalyptic number.

11412310601088 is a gapful number since it is divisible by the number (18) 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 11412310601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023764014400).

11412310601088 is an abundant number, since it is smaller than the sum of its proper divisors (22635217427712).

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

11412310601088 is a wasteful number, since it uses less digits than its factorization.

11412310601088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395761 (or 1395746 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 11412310601088 its reverse (88010601321411), we get a palindrome (99422911922499).

The spelling of 11412310601088 in words is "eleven trillion, four hundred twelve billion, three hundred ten million, six hundred one thousand, eighty-eight".