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1123211021112 = 23321773181199349
BaseRepresentation
bin10000010110000100100…
…110000000101100111000
310222101012111200210212100
4100112010212000230320
5121400314010133422
62215555050143400
7144102134103015
oct20260446005470
93871174623770
101123211021112
113a3395380774
12161829121b60
1381bc27accab
143c51400670c
151e33d5957ac
hex10584980b38

1123211021112 has 384 divisors, whose sum is σ = 3309087600000. Its totient is φ = 342910402560.

The previous prime is 1123211021087. The next prime is 1123211021143. The reversal of 1123211021112 is 2111201123211.

It is a happy number.

1123211021112 is a `hidden beast` number, since 112 + 321 + 10 + 211 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3218369514 + ... + 3218369862.

It is an arithmetic number, because the mean of its divisors is an integer number (8617415625).

Almost surely, 21123211021112 is an apocalyptic number.

1123211021112 is a gapful number since it is divisible by the number (12) 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 1123211021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654543800000).

1123211021112 is an abundant number, since it is smaller than the sum of its proper divisors (2185876578888).

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

1123211021112 is a wasteful number, since it uses less digits than its factorization.

1123211021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1123211021112 its reverse (2111201123211), we get a palindrome (3234412144323).

The spelling of 1123211021112 in words is "one trillion, one hundred twenty-three billion, two hundred eleven million, twenty-one thousand, one hundred twelve".