21121022434000 has 160 divisors (see below), whose sum is σ = 51629554952352. Its totient is φ = 8356121600000.

The previous prime is 21121022433971. The next prime is 21121022434033. The reversal of 21121022434000 is 43422012112.

It can be written as a sum of positive squares in 16 ways, for example, as 9795347581504 + 11325674852496 = 3129752^2 + 3365364^2 .

It is a super-3 number, since 3×21121022434000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197300490 + ... + 197407510.

Almost surely, 2^{21121022434000} is an apocalyptic number.

21121022434000 is a gapful number since it is divisible by the number (20) 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 21121022434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25814777476176).

21121022434000 is an abundant number, since it is smaller than the sum of its proper divisors (30508532518352).

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

21121022434000 is a wasteful number, since it uses less digits than its factorization.

21121022434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108122 (or 108106 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21121022434000 its reverse (43422012112), we get a palindrome (21164444446112).

The spelling of 21121022434000 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, four hundred thirty-four thousand".