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1000120121220 = 22351119339719777
BaseRepresentation
bin11101000110110111100…
…11011111011110000100
310112121111002110012211010
432203123303133132010
5112341221222334340
62043240541042220
7132153623523453
oct16433363373604
93477432405733
101000120121220
1135616a80a830
121419b6256370
137340713599c
1436598394b9a
151b037092b80
hexe8dbcdf784

1000120121220 has 192 divisors, whose sum is σ = 3078631454976. Its totient is φ = 240577413120.

The previous prime is 1000120121179. The next prime is 1000120121227. The reversal of 1000120121220 is 221210210001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000120121196 and 1000120121205.

It is not an unprimeable number, because it can be changed into a prime (1000120121227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50559972 + ... + 50579748.

It is an arithmetic number, because the mean of its divisors is an integer number (16034538828).

Almost surely, 21000120121220 is an apocalyptic number.

1000120121220 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 1000120121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539315727488).

1000120121220 is an abundant number, since it is smaller than the sum of its proper divisors (2078511333756).

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

1000120121220 is a wasteful number, since it uses less digits than its factorization.

1000120121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20390 (or 20388 counting only the distinct ones).

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

Adding to 1000120121220 its reverse (221210210001), we get a palindrome (1221330331221).

The spelling of 1000120121220 in words is "one trillion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".