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1121121214400 = 265211316920101
BaseRepresentation
bin10000010100001000000…
…010000001111111000000
310222011210212100121222202
4100110020002001333000
5121332024012330100
62215011434252332
7143666300042045
oct20241002017700
93864725317882
101121121214400
113a2512774a90
121613452870a8
138194b850985
143c3966511cc
151e269d937d5
hex10508081fc0

1121121214400 has 168 divisors, whose sum is σ = 3010545474960. Its totient is φ = 407531520000.

The previous prime is 1121121214387. The next prime is 1121121214417. The reversal of 1121121214400 is 44121211211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55764350 + ... + 55784450.

Almost surely, 21121121214400 is an apocalyptic number.

1121121214400 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 1121121214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505272737480).

1121121214400 is an abundant number, since it is smaller than the sum of its proper divisors (1889424260560).

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

1121121214400 is a wasteful number, since it uses less digits than its factorization.

1121121214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23303 (or 23288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1121121214400 its reverse (44121211211), we get a palindrome (1165242425611).

The spelling of 1121121214400 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred fourteen thousand, four hundred".