2120001211620 has 72 divisors (see below), whose sum is σ = 6447201841080. Its totient is φ = 563880337920.

The previous prime is 2120001211619. The next prime is 2120001211621. The reversal of 2120001211620 is 261121000212.

2120001211620 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 0 + 1 + 21 + 1 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (2120001211619) and next prime (2120001211621).

It can be written as a sum of positive squares in 4 ways, for example, as 81211320576 + 2038789891044 = 284976^2 + 1427862^2 .

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 = 2120001211593 and 2120001211602.

It is not an unprimeable number, because it can be changed into a prime (2120001211621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15068521 + ... + 15208560.

It is an arithmetic number, because the mean of its divisors is an integer number (89544470015).

Almost surely, 2^{2120001211620} is an apocalyptic number.

2120001211620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120001211620 is an abundant number, since it is smaller than the sum of its proper divisors (4327200629460).

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

2120001211620 is a wasteful number, since it uses less digits than its factorization.

2120001211620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30277485 (or 30277480 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2120001211620 its reverse (261121000212), we get a palindrome (2381122211832).

The spelling of 2120001211620 in words is "two trillion, one hundred twenty billion, one million, two hundred eleven thousand, six hundred twenty".