120112121000 has 32 divisors (see below), whose sum is σ = 281062365480. Its totient is φ = 48044848000.

The previous prime is 120112120987. The next prime is 120112121023. The reversal of 120112121000 is 121211021.

It can be written as a sum of positive squares in 4 ways, for example, as 7861659556 + 112250461444 = 88666^2 + 335038^2 .

It is a super-2 number, since 2×120112121000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60055061 + ... + 60057060.

Almost surely, 2^120112121000 is an apocalyptic number.

120112121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112121000 is an abundant number, since it is smaller than the sum of its proper divisors (160950244480).

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

120112121000 is a wasteful number, since it uses less digits than its factorization.

120112121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120112142 (or 120112128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120112121000 its reverse (121211021), we get a palindrome (120233332021).

The spelling of 120112121000 in words is "one hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand".