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1120001031120 = 2435314110136353
BaseRepresentation
bin10000010011000101010…
…000110111101111010000
310222001220210112102102010
4100103011100313233100
5121322230230443440
62214304341022520
7143626445454426
oct20230520675720
93861823472363
101120001031120
113a1a98424784
121610920b4a40
138180075432a
143c2cb97b116
151e201872580
hex104c5437bd0

1120001031120 has 320 divisors, whose sum is σ = 3707870681088. Its totient is φ = 279183360000.

The previous prime is 1120001031073. The next prime is 1120001031133. The reversal of 1120001031120 is 211301000211.

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 = 1120001031096 and 1120001031105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30790864 + ... + 30827216.

Almost surely, 21120001031120 is an apocalyptic number.

1120001031120 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 1120001031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853935340544).

1120001031120 is an abundant number, since it is smaller than the sum of its proper divisors (2587869649968).

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

1120001031120 is a wasteful number, since it uses less digits than its factorization.

1120001031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36542 (or 36536 counting only the distinct ones).

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

Adding to 1120001031120 its reverse (211301000211), we get a palindrome (1331302031331).

The spelling of 1120001031120 in words is "one trillion, one hundred twenty billion, one million, thirty-one thousand, one hundred twenty".