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1012111311120 = 243573133725561
BaseRepresentation
bin11101011101001101000…
…10010000000100010000
310120202102202222202222120
432232212202100010100
5113040300443423440
62052542453534240
7133060030125000
oct16564642200420
93522382882876
101012111311120
113602634a4228
121441a2044380
1374598504420
1436db4b5c000
151b4d9b72dd0
hexeba6890110

1012111311120 has 640 divisors, whose sum is σ = 4047057638400. Its totient is φ = 207764766720.

The previous prime is 1012111311103. The next prime is 1012111311137. The reversal of 1012111311120 is 211131112101.

It is an interprime number because it is at equal distance from previous prime (1012111311103) and next prime (1012111311137).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012111311120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39583140 + ... + 39608700.

It is an arithmetic number, because the mean of its divisors is an integer number (6323527560).

Almost surely, 21012111311120 is an apocalyptic number.

1012111311120 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 1012111311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023528819200).

1012111311120 is an abundant number, since it is smaller than the sum of its proper divisors (3034946327280).

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

1012111311120 is a wasteful number, since it uses less digits than its factorization.

1012111311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25648 (or 25628 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1012111311120 its reverse (211131112101), we get a palindrome (1223242423221).

It can be divided in two parts, 1012111 and 311120, that added together give a palindrome (1323231).

The spelling of 1012111311120 in words is "one trillion, twelve billion, one hundred eleven million, three hundred eleven thousand, one hundred twenty".