1011211212420 has 144 divisors (see below), whose sum is σ = 3099893946240. Its totient is φ = 266796177408.

The previous prime is 1011211212409. The next prime is 1011211212433. The reversal of 1011211212420 is 242121121101.

1011211212420 is a `hidden beast` number, since 1 + 0 + 1 + 121 + 121 + 2 + 420 = 666.

It is a super-2 number, since 2×1011211212420² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011211212393 and 1011211212402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78266721 + ... + 78279639.

Almost surely, 2^{1011211212420} is an apocalyptic number.

1011211212420 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 1011211212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549946973120).

1011211212420 is an abundant number, since it is smaller than the sum of its proper divisors (2088682733820).

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

1011211212420 is a wasteful number, since it uses less digits than its factorization.

1011211212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17514 (or 17509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1011211212420 its reverse (242121121101), we get a palindrome (1253332333521).

The spelling of 1011211212420 in words is "one trillion, eleven billion, two hundred eleven million, two hundred twelve thousand, four hundred twenty".