120121001022000 has 640 divisors, whose sum is σ = 424759565647872. Its totient is φ = 28963267968000.

The previous prime is 120121001021963. The next prime is 120121001022107. The reversal of 120121001022000 is 220100121021.

120121001022000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10515708289 + ... + 10515719711.

Almost surely, 2^{120121001022000} is an apocalyptic number.

120121001022000 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 120121001022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212379782823936).

120121001022000 is an abundant number, since it is smaller than the sum of its proper divisors (304638564625872).

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

120121001022000 is a wasteful number, since it uses less digits than its factorization.

120121001022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12306 (or 12290 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120121001022000 its reverse (220100121021), we get a palindrome (120341101143021).

The spelling of 120121001022000 in words is "one hundred twenty trillion, one hundred twenty-one billion, one million, twenty-two thousand".