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121011122022120 = 2332511487621710093
BaseRepresentation
bin11011100000111100011000…
…111100010010011011101000
3120212110112212011020201112200
4123200330120330102123220
5111330121234214201440
61105211424134540200
734326523261441521
oct3340743074223350
9525415764221480
10121011122022120
113561558a69aa20
12116a4923b07660
13526a3b89a4295
1421c4d8066b848
15decb9c510c30
hex6e0f18f126e8

121011122022120 has 384 divisors, whose sum is σ = 430032172227840. Its totient is φ = 29268182200320.

The previous prime is 121011122022097. The next prime is 121011122022163. The reversal of 121011122022120 is 21220221110121.

121011122022120 is a `hidden beast` number, since 1 + 210 + 1 + 11 + 220 + 221 + 2 + 0 = 666.

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 = 121011122022093 and 121011122022102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11989603794 + ... + 11989613886.

It is an arithmetic number, because the mean of its divisors is an integer number (1119875448510).

Almost surely, 2121011122022120 is an apocalyptic number.

121011122022120 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 121011122022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215016086113920).

121011122022120 is an abundant number, since it is smaller than the sum of its proper divisors (309021050205720).

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

121011122022120 is a wasteful number, since it uses less digits than its factorization.

121011122022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825 (or 16818 counting only the distinct ones).

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

Adding to 121011122022120 its reverse (21220221110121), we get a palindrome (142231343132241).

The spelling of 121011122022120 in words is "one hundred twenty-one trillion, eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".