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1122145111320 = 2335177318893989
BaseRepresentation
bin10000010101000101000…
…011111000110100011000
310222021110012222222111220
4100111011003320310120
5121341123122030240
62215301212052040
7144033542032212
oct20250503706430
93867405888456
101122145111320
113a299872a992
12161590164020
1381a82a06c3c
143c45261d5b2
151e2c9be55d0
hex105450f8d18

1122145111320 has 256 divisors, whose sum is σ = 3616108272000. Its totient is φ = 277561737216.

The previous prime is 1122145111289. The next prime is 1122145111327. The reversal of 1122145111320 is 231115412211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122145111327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281307886 + ... + 281311874.

Almost surely, 21122145111320 is an apocalyptic number.

1122145111320 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 1122145111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808054136000).

1122145111320 is an abundant number, since it is smaller than the sum of its proper divisors (2493963160680).

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

1122145111320 is a wasteful number, since it uses less digits than its factorization.

1122145111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 1122145111320 in words is "one trillion, one hundred twenty-two billion, one hundred forty-five million, one hundred eleven thousand, three hundred twenty".