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1122102010120 = 235713536197983
BaseRepresentation
bin10000010101000010011…
…111011110000100001000
310222021100012220012210011
4100111002133132010020
5121341031103310440
62215253032201304
7144032506466560
oct20250237360410
93867305805704
101122102010120
113a2976371363
12161579839234
1381a76ac5980
143c44a9ddda0
151e2c602e9ea
hex105427de108

1122102010120 has 512 divisors, whose sum is σ = 3254371706880. Its totient is φ = 338836193280.

The previous prime is 1122102010111. The next prime is 1122102010129. The reversal of 1122102010120 is 210102012211.

It is an interprime number because it is at equal distance from previous prime (1122102010111) and next prime (1122102010129).

It is a super-2 number, since 2×11221020101202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1122102010120.

It is not an unprimeable number, because it can be changed into a prime (1122102010129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1141507149 + ... + 1141508131.

It is an arithmetic number, because the mean of its divisors is an integer number (6356194740).

Almost surely, 21122102010120 is an apocalyptic number.

1122102010120 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 1122102010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627185853440).

1122102010120 is an abundant number, since it is smaller than the sum of its proper divisors (2132269696760).

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

1122102010120 is a wasteful number, since it uses less digits than its factorization.

1122102010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1122102010120 its reverse (210102012211), we get a palindrome (1332204022331).

The spelling of 1122102010120 in words is "one trillion, one hundred twenty-two billion, one hundred two million, ten thousand, one hundred twenty".