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1122137449020 = 22335723103125311
BaseRepresentation
bin10000010101000100100…
…110101010001000111100
310222021102200120200211000
4100111010212222020330
5121341114141332040
62215300335530300
7144033416640150
oct20250446521074
93867380520730
101122137449020
113a2994377105
12161589689990
1381a81253433
143c4515c7060
151e2c91d0130
hex105449aa23c

1122137449020 has 384 divisors, whose sum is σ = 4203746426880. Its totient is φ = 242953032960.

The previous prime is 1122137449009. The next prime is 1122137449033. The reversal of 1122137449020 is 209447312211.

1122137449020 is a `hidden beast` number, since 1 + 1 + 221 + 374 + 49 + 0 + 20 = 666.

It is a super-2 number, since 2×11221374490202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8892165 + ... + 9017475.

It is an arithmetic number, because the mean of its divisors is an integer number (10947256320).

Almost surely, 21122137449020 is an apocalyptic number.

1122137449020 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 1122137449020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101873213440).

1122137449020 is an abundant number, since it is smaller than the sum of its proper divisors (3081608977860).

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

1122137449020 is a wasteful number, since it uses less digits than its factorization.

1122137449020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125462 (or 125454 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1122137449020 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-seven million, four hundred forty-nine thousand, twenty".